Question
Compare $\frac{4}{5}$ and $\frac{5}{6}$.
✓
Answer
The given fractions are unlike fractions. Their numerators are different too.
Let us write their equivalent fractions.
$\frac{4}{5}=\frac{8}{10}=\frac{12}{15}=\frac{16}{20}=\frac{20}{25}=\frac{24}{30}=\frac{28}{35}=$.........
and $\frac{5}{6}=\frac{10}{12}=\frac{15}{18}=\frac{20}{24}=\frac{25}{30}=\frac{30}{36}=$ ........
The equivalent fractions with the same denominator are :
$\frac{4}{5}=\frac{24}{30}$ and $\frac{5}{6}=\frac{25}{30}$
Since, $25 > 24$
So, $\frac{25}{30}>\frac{24}{30}$
$\Rightarrow$ $\frac{5}{6}>\frac{4}{5}$
Let us write their equivalent fractions.
$\frac{4}{5}=\frac{8}{10}=\frac{12}{15}=\frac{16}{20}=\frac{20}{25}=\frac{24}{30}=\frac{28}{35}=$.........
and $\frac{5}{6}=\frac{10}{12}=\frac{15}{18}=\frac{20}{24}=\frac{25}{30}=\frac{30}{36}=$ ........
The equivalent fractions with the same denominator are :
$\frac{4}{5}=\frac{24}{30}$ and $\frac{5}{6}=\frac{25}{30}$
Since, $25 > 24$
So, $\frac{25}{30}>\frac{24}{30}$
$\Rightarrow$ $\frac{5}{6}>\frac{4}{5}$
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