Question

Question 5(i) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{3}{4}\square \frac{7}{8}$

Answer 1

The given fractions $\frac{3}{4},\frac{7}{8}$ are unlike fractions because they have different denominators.

When we compare two unlike fractions, we first get their equivalent fractions with a denominator which is a common multiple of the denominators of both the fractions.

The LCM of 4 and 8 is 8.

The equivalent fractions with the same denominator are :

$\frac{3}{4}=\frac{3\times 2}{4\times 2}=\frac{6}{8}$ and $\frac{7}{8}=\frac{7\times 1}{8\times 1}=\frac{7}{8}$

Now, $\frac{6}{8}<\frac{7}{8}$

$\therefore$ $\frac{3}{4}<\frac{7}{8}$