Question

Question 7(b) :

Find answer to the following. Write and indicate how you solved it:

Is $\frac{9}{16}$ equal to $\frac{5}{9}$ ?

Answer 1

The given fractions $\frac{9}{16},\frac{5}{9}$ 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 16 and 9 is 144.

The equivalent fractions with the same denominator are :

$\frac{9}{16}=\frac{9\times 9}{16\times 9}=\frac{81}{144}$ and $\frac{5}{9}=\frac{5\times 16}{9\times 16}=\frac{80}{144}$

Since, $\frac{81}{144}>\frac{80}{144}$

$\therefore \frac{9}{16}\ne \frac{5}{9}$