Question

Question 6.
Which of the following is not equal to the others?
(a) $\frac{6}{8}$
(b) $\frac{12}{16}$
(c) $\frac{15}{25}$
(d) $\frac{18}{24}$

Answer 1

(c)

In order to find which of the given fraction is not equal to others, we will convert each of the given fraction in its lowest form.

A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.

Now,
(a) $\frac{6}{8}=\frac{6÷2}{8÷2}=\frac{3}{4}$ $[\because HCFof6and8is2]$
(b) $\frac{12}{16}=\frac{12÷4}{16÷4}=\frac{3}{4}$ $[\because HCFof12and6is4]$
(c) $\frac{15}{25}=\frac{15÷5}{25÷5}=\frac{3}{5}$ $[\because HCFof15and25is5]$
(d) $\frac{18}{24}=\frac{18÷6}{24÷6}=\frac{3}{4}$ $[\because HCFof18and24is6]$
Hence, option (c) is not equal to the others.