Question

Compare 4:5 and 3:4.

• A. 4:5 is smaller than 3:4.
• B. 4:5 is larger than 3:4.
• C. 4:5 is equal to 3:4.
• D. The given ratios can't be compared.

Answer 1

The correct option is B 4:5 is larger than 3:4.

4:5 = $\frac{4}{5}$

3:4 = $\frac{3}{4}$

LCM of denominators = 20

We need to make the denominators of the fractions equal to 20.

On multiplying and dividing the numerator and denominator of $\frac{4}{5}$ by 4, we get

$\frac{16}{20}$

On multiplying and dividing the numerator and denominator of $\frac{3}{4}$ by 5, we get

$\frac{15}{20}$

Compare the numerators of the new fractions, 16 > 15.

$\frac{16}{20}$ corresponds to 4:5.

So, 4:5 is larger than 3:4.