Question

Which choice about the following images is correct? Use the cross multiplication method to find the larger fraction of the colored parts
(a)
(b)

• A. (a) > (b)
• B. (a) < (b)
• C. (a) = (b)
• D. None of these

Answer 1

The correct option is A (a) > (b)


This circle has 2 colored part out of 3. A fraction of the colored part is $\frac{2}{3}$
This rectangle has 3 colored part out of 6. A fraction of the colored part is $\frac{3}{6}$

Now, let's compare the fractions $\frac{2}{3}$ and $\frac{3}{6}$ using cross multiplication.

We got, $2\times 6>3\times 3$
i.e., $12>9$
So, $\frac{2}{3}>\frac{3}{6}$
Hence, Fraction representing figure (a) is more than fraction representing figure (b).