Question

Question 5(k) :

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

$\frac{5}{7}\square \frac{15}{21}$

Answer 1

The given fractions $\frac{5}{7},\frac{15}{21}$ 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 7 and 21 is 21.

The equivalent fractions with the same denominator are :

$\frac{5}{7}=\frac{5\times 3}{7\times 3}=\frac{15}{21}$ and $\frac{15}{21}=\frac{15\times 1}{21\times 1}=\frac{15}{21}$

Now, $\frac{15}{21}=\frac{15}{21}$

$\therefore$ $\frac{5}{7}=\frac{15}{21}$