Exercise 6.3 - Chapter 6 Fractions Term 3 5th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated On May 15, 2024

By SaraNextGen

Ex $6.3$
Question 1.
Convert the following into like fractions
(i) $\frac{1}{4}, \frac{3}{8}$
Answer:
As 8 is twice 4 , make 8 the common denominator. $\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}$
Thus $\frac{2}{8}$ and $\frac{3}{8}$ are the required like fractions.
(ii) $\frac{2}{5}, \frac{1}{7}$
Answer:
The number 35 is a multiple of both 7 and 5
$\begin{aligned}
&\frac{2}{5}=\frac{2 \times 7}{5 \times 7}=\frac{14}{35} \\
&\frac{1}{7}=\frac{1 \times 5}{7 \times 5}=\frac{5}{35}
\end{aligned}$
Therefore $\frac{14}{35}$ and $\frac{5}{35}$ are the required like fraction
(iii) $\frac{2}{5}, \frac{3}{10}$
Answer:
As 10 is twice 5, make 10 the common denominator $\frac{2}{5}=\frac{2 \times 2}{5 \times 2}=\frac{4}{10}$
Thus $\frac{4}{10}$ and $\frac{3}{10}$ are the required like fractions.

(iv) $\frac{2}{7}, \frac{1}{6}$
Answer:
The number 42 is a multiple of both 7 and 6 so make 42 the common denominator.
$\frac{2}{7}=\frac{2 \times 6}{7 \times 6}=\frac{12}{42}$ $\frac{1}{6}=\frac{1 \times 7}{6 \times 7}=\frac{7}{42}$
Therefore $\frac{12}{42}$ and $\frac{7}{42}$ are the required like fractions.
(v) $\frac{1}{3}, \frac{3}{4}$
Answer:
The number 12 is a multiple of both 3 and 4 so make 12 the common denominator
$\frac{1}{3}=\frac{1 \times 4}{3 \times 4}=\frac{4}{12}$
$\frac{3}{4}=\frac{3 \times 3}{4 \times 3}=\frac{9}{12}$
Therefore $\frac{4}{12}$ and $\frac{9}{12}$ are the required like fractions.

(vi) $\frac{5}{6}, \frac{4}{5}$
Answer:
The number 30 is a multiple of both 6 and 5 , so make 30 the common denominator.
$\begin{aligned}
&\frac{5}{6}=\frac{5 \times 5}{6 \times 5}=\frac{25}{30} \\
&\frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}
\end{aligned}$
Therefore $\frac{25}{30}$ and $\frac{24}{30}$ are the required like fractions.
(vii) $\frac{1}{8}, \frac{3}{7}$
Answer:
The number 56 is a multiple of both 8 and 7 . so make 56 the common denominator.
$\begin{aligned}
&\frac{1}{8}=\frac{1 \times 7}{8 \times 7}=\frac{7}{56} \\
&\frac{3}{7}=\frac{3 \times 8}{7 \times 8}=\frac{24}{56}
\end{aligned}$
Therefore $\frac{7}{56}$ and $\frac{24}{56}$ are the required like fractions.
(viii) $\frac{1}{6}, \frac{4}{9}$
Answer:
Multiples of $6: 6,12,18,24,30,36, \ldots \ldots$
Nultiples of $9: 9,18,27,36,45, \ldots \ldots$
Smallest common multiple 18
$\begin{aligned}
&\frac{1}{5}=\frac{1 \times 3}{6 \times 3}=\frac{3}{18} \\
&\frac{4}{9}=\frac{4 \times 2}{9 \times 2}=\frac{8}{18}
\end{aligned}$
There fore $\frac{3}{18}$ and $\frac{8}{18}$ are the required like fractions.