Exercise 6.4 - Chapter 6 Fractions Term 3 5th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated On May 15, 2024

By SaraNextGen

Ex $6.4$
Question 1.
Write the proper symbol from $<,>$, or $=$ in the box
(i) $\frac{3}{5}-\frac{2}{5}$
Answer:
$\frac{3}{5}>\frac{2}{5}$
(ii) $\frac{2}{8}-\frac{1}{8}$
Answer:
$\frac{2}{8}>\frac{1}{8}$
(iii) $\frac{2}{11}-\frac{10}{11}$
Answer:
$\frac{2}{11}<\frac{10}{11}$
(iv) $\frac{3}{15}-\frac{10}{30}$
Answer:
$\begin{aligned}
&\frac{3}{15}=\frac{3 \times 2}{15 \times 2}=\frac{6}{30} \\
&\frac{6}{30}<\frac{10}{30} \\
&\frac{3}{15}<\frac{10}{30}
\end{aligned}$

(v) $\frac{3}{8}-\frac{3}{7}$
Answer:
$\begin{aligned}
&\frac{3}{8}=\frac{3 \times 7}{8 \times 7}=\frac{21}{56} \\
&\frac{3}{7}=\frac{3 \times 8}{7 \times 8}=\frac{24}{56} \\
&\frac{21}{56}<\frac{24}{56} \\
&\frac{3}{8}<\frac{3}{7}
\end{aligned}$
(vi) $\frac{4}{7}-\frac{4}{11}$
Answer:
$\begin{aligned}
&\frac{4}{7}=\frac{4 \times 11}{7 \times 11}=\frac{44}{77} \\
&\frac{4}{11}=\frac{4 \times 7}{11 \times 7}=\frac{28}{77} \\
&\frac{44}{77}>\frac{28}{77} \\
&\frac{4}{7}>\frac{4}{11}
\end{aligned}$

(vii) $\frac{5}{12}-\frac{1}{6}$
Answer:
$\frac{1}{6}=\frac{1 \times 2}{6 \times 2}=\frac{2}{12}$
$\frac{5}{12}>\frac{2}{12}$
$\frac{5}{12}>\frac{1}{6}$
$\frac{3}{7}<\frac{5}{9}$
(viii) $\frac{4}{9}-\frac{4}{9}$
Answer:
$\frac{4}{9}=\frac{4}{9}$
(ix) $\frac{3}{7}-\frac{5}{9}$
Answer:
$\frac{3}{7}=\frac{3 \times 9}{7 \times 9}=\frac{27}{63}$
$\frac{5}{9}=\frac{5 \times 7}{9 \times 7}=\frac{35}{63}$
$\frac{27}{63}<\frac{35}{63}$
(x) $\frac{4}{11}-\frac{1}{5}$
Answer:
$\frac{4}{11}=\frac{4 \times 5}{11 \times 5}=\frac{20}{55}$
$\frac{1}{5}=\frac{1 \times 11}{5 \times 11}=\frac{11}{55}$
$\frac{20}{55}>\frac{11}{55}$
$\frac{4}{11}>\frac{1}{5}$