Intext Questions (Try These Textbook Page No. 15,17,18) - Chapter 1 Fractions Term 3 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

(Try These Textbook Page No. 15)
Question $1 .$
$2 \frac{1}{4} \times 3$ is not equal to $6 \frac{1}{4}$. Why?
Solution:
$2 \frac{1}{4} \times 3$ means $\left(2+\frac{1}{4}\right) \times 3=(2 \times 3)+\left(\frac{1}{4} \times 3\right)=6+\frac{3}{4}=6 \frac{3}{4} \neq 6 \frac{1}{4}$
 

Question $2 .$
Simplify : $35 \times \frac{3}{7}$.
Solution:
$35 \times \frac{3}{7}=\frac{35 \times 3}{7}=\frac{105}{7}=15$

Question $3 .$
Find the value of $\frac{1}{5}$ of $15 .$
Solution:
$\frac{1}{5}$ of $15=\frac{1}{5} \times 15=\frac{15}{5}=3$

Question $4 .$
Find the value of $\frac{1}{3}$ of $\frac{3}{4}$
Solution:
$\frac{1}{3}$ of $\frac{3}{4}=\frac{1}{3} \times \frac{3}{4}=\frac{1 \times 3}{3 \times 4}=\frac{3}{12}=\frac{1}{4}$
 

Question 5 .
Multiply $7 \frac{3}{4}$ by $5 \frac{1}{2}$.
Solution:
$7 \frac{3}{4} \times 5 \frac{1}{2}=\frac{31}{4} \times \frac{11}{2}=\frac{31 \times 11}{4 \times 2}=\frac{341}{8}$

(Try These Textbook Page No. 17)
Question $1 .$
(i) How many 6 s are there in 18 ?
Solution:
Number of $6 \mathrm{~s}$ in 18 are $\frac{18}{6}=3$
(ii) How many $\frac{1}{4} \mathrm{~s}$ are there in 5 ?
Solution:
Number of $\frac{1}{4}$ s in 5 are $5 \div \frac{1}{4}=5 \times \frac{4}{1}=20$
(iii) $\frac{1}{3} \div 5=?$
Solution:
$\frac{1}{3} \div 5=\frac{1}{3} \times \frac{1}{5}=\frac{1}{15}$

(Try These Textbook Page No. 18)
Question (i)
Find the value of $5 \div 2 \frac{1}{2}$.
Solution:
$5 \div 2 \frac{1}{2}=5 \div \frac{5}{2}=5 \times \frac{2}{5}=\frac{10}{5}=2$

Question (ii)
Simplify: $1 \frac{1}{2} \div \frac{1}{2}$
Solution:
$1 \frac{1}{2} \div \frac{1}{2}=\frac{3}{2} \div \frac{1}{2}=\frac{3}{2} \times \frac{2}{1}=\frac{6}{2}=3$

Question (iii)
Divide $8 \frac{1}{2}$ by $4 \frac{1}{4}$.
Solution:
$8 \frac{1}{2} \div 4 \frac{1}{4}=\frac{17}{2} \div \frac{17}{4}=\frac{17}{2} \times \frac{4}{17}=2$