Question

Compare the fractions given below $\frac{3}{8}$and $\frac{5}{6}$.

Answer 1

Step 1: Equate the denominators:

Know that a fraction is defined as a part of the whole and mathematically defined as $\frac{p}{q}$where $q$is not equal to zero.

Here, the fractions given are $\frac{3}{8}$ and $\frac{5}{6}$ .

In the first fraction multiply the numerator and denominator by$3$ and in the second fraction multiply the numerator and denominator by $4$ to equate the denominators of the given fractions.

Therefore,

$$\begin{gathered} \frac{3\times 3}{8\times 3};\frac{5\times 4}{6\times 4} \\ \Rightarrow \frac{9}{24};\frac{20}{24} \end{gathered}$$

Step 2: Compare the fractions:

Know that the denominators of the fractions are equal so compare the numerators only.

$$\begin{gathered} \frac{9}{24};\frac{20}{24} \\ \Rightarrow \frac{9}{24}<\frac{20}{24} \\ \Rightarrow \frac{3}{8}<\frac{5}{6} \end{gathered}$$

Hence, the required answer is $\frac{3}{8}<\frac{5}{6}$.