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On March 11, 2024, 11:35 AM

Exercise 2.2 - Chapter 2 Fractions Decimals class 7 ncert solutions Maths - SaraNextGen [2024]


Question 1:

Which of the drawings (a) to (d) show:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_35d1ba92.gif  (ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m5d8b5a63.gif  (iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_6d039eff.gif  (iv) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m3cfcbeaf.gif

(a)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_487dc14f.jpg

(b)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m512fe625.jpg

(c)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m1e120adb.jpg

(d)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m76ec08f3.jpg

Answer:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m5ff8cc96.gif  represents addition of 2 figures, each representing 1 shaded part out of 5 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m5ff8cc96.gif  is represented by (d).

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m20c2c486.gif  represents addition of 2 figures, each representing 1 shaded part out of 2 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m20c2c486.gif  is represented by (b).

(iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m2ec2384b.gif  represents addition of 3 figures, each representing 2 shaded parts out of 3 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_m2ec2384b.gif  is represented by (a).

(iv) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_3386a778.gif  represents addition of 3 figures, each representing 1 shaded part out of 4 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1455/Chapter%202_html_3386a778.gif  is represented by (c).

Question 2:

Some pictures (a) to (c) are given below. Tell which of them show:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m6bfceb08.gif  (ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m5150475.gif  (iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_9908dff.gif

(a)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m3edc3d8d.jpg

(b)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m39ea004b.jpg

(c)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_75a405ee.jpg

Answer:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_7659c99.gif  represents the addition of 3 figures, each representing 1 shaded part out of 5 equal parts and https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_648a2b75.gif represents 3 shaded parts out of 5 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m6bfceb08.gif  is represented by (c).

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m1f23823b.gif  represents the addition of 2 figures, each representing 1 shaded part out of 3 equal parts and https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m64d8549d.gif represents 2 shaded parts out of 3 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m5150475.gif  is represented by (a).

(iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m560ffe8.gif  represents the addition of 3 figures, each representing 3 shaded parts out of 4 equal parts and https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_m44d18bc6.gif represents 2 fully shaded figures and one figure having 1 part as shaded out of 4 equal parts. Hence, https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1457/Chapter%202_html_9908dff.gif  is represented by (b)

Question 3:

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_2b1631e1.gif  (ii)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m6e391f6c.gif  (iii)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m150e45f7.gif  (iv) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m16500e30.gif

(v) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_5844baea.gif  (vi)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m747197f0.gif  (vii)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_33d06a05.gif  (viii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_7f998721.gif

(ix) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_f6cd83c.gif  (x)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m21febc8c.gif

Answer:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m1e6526a7.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m3b3b0240.gif

(iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_529d4ca5.gif

(iv) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_3eb2b870.gif

(v) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_ma7e69e2.gif

(vi) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m4346a605.gif

(vii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_303c6b0a.gif

(viii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m37620a28.gif

(ix) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_3012f975.gif

(x) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1465/Chapter%202_html_m67962fda.gif

Question 4:

Shade:

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_m5a4d85ce.gif of the circles in box (a) (ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_m64d8549d.gif of the triangles in box (b)

(iii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_648a2b75.gif of the squares in box (c)

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_208781ec.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_57d6522.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_m707af0b2.jpg

(a)

(b)

(c)

(i) It can be observed that there are 12 circles in the given box. We have to shade https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_eeecab0.gif  of the circles in it. Ashttps://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_da52c42.gif , therefore, we will shade any 6 circles of it.Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_13428c42.jpg

(ii) It can be observed that there are 9 triangles in the given box. We have to shade https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_5af9a5df.gif of the triangles in it. Ashttps://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_m5c473b28.gif , therefore, we will shade any 6 triangles of it.

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_6d3417fb.jpg

(iii) It can be observed that there are 15 squares in the given box. We have to shade https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_736b468b.gif of the squares in it. Ashttps://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_1af46aab.gif , therefore, we will shade any 9 squares of it.

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1467/Chapter%202_html_3f55d0a3.jpg

Question 5:

Find:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m5a4d85ce.gif  of (i) 24 (ii) 46

(b) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m64d8549d.gif  of (i) 18 (ii) 27

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m2111158f.gif  of (i) 16 (ii) 36

(d) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_3c10ec20.gif  of (i) 20 (ii) 35

Answer:

(a) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_7b031b58.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m40edd6e2.gif

(b) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_411f8b22.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_26989879.gif

(c) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_e16e36a.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m27212742.gif

(d) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m75241f64.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1470/Chapter%202_html_m40a4c9b7.gif

Question 6:

Multiply and express as a mixed fraction:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_44f33d1e.gif  (b) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m59f91c4a.gif

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m4cfcb9d2.gif  (d) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_5b2d4461.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m21306484.gif  (f) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_2433eb3c.gif

Answer:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m4f1cdc5f.gif https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m140d68b1.gif

(b) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m2f0c5cf2.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m52f38a9f.gif

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m52c1a381.gif https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_1f9cb84d.gif

(d) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_9e69688.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_73d6df8c.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_md343d84.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_5cb2dcca.gif

(f) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_6fc88f6b.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1473/Chapter%202_html_m60e0563d.gif

Question 7:

Find (a) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m5a4d85ce.gif of (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_52f546fc.gif  (ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m265d2452.gif  (b) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_30ca4356.gif of (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_5c97e4dc.gif  (ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_100dbf25.gif

Answer:

(a) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m3369d33c.gif https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_749bd946.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m2618c0df.gif https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_3e5bf8e1.gif

(b) (i) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_7e34395e.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m6bc75f6f.gif

(ii) https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_m3c821652.gif  https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1479/Chapter%202_html_5143c963.gif

Question 8:

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1480/Chapter%202_html_m6f03c315.gif of the water. Pratap consumed the remaining water.

(i) How much water did Vidya drink?

(ii) What fraction of the total quantity of water did Pratap drink?

Answer:

(i) Water consumed by Vidya = https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1480/Chapter%202_html_6e03847d.gif  of 5 litres

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1480/Chapter%202_html_m6466fe44.gif

(ii) Water consumed by Pratap = https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1480/Chapter%202_html_456aff08.gif of the total water

Also Read : Exercise-2.3-Chapter-2-Fractions-Decimals-class-7-ncert-solutions-Maths

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