Question

Choose the correct option:
4:5 is __________ 3:4.

• A. smaller than
• B. greater than
• C. equal to
• D. less than or equal to

Answer 1

The correct option is B greater than

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

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

LCM of denominators = 20

Make the denominators of the fractions equal to 20

Multiply and divide the numerator and denominator of $\frac{4}{5}$ by 4, we get $\frac{16}{20}$

Multiply and divide the numerator and denominator of $\frac{3}{4}$ by 5, we get $\frac{15}{20}$

Consider the numerators of new fractions, 16 > 15

$\therefore \frac{16}{20}$ is greater than $\frac{15}{20}$
$\Rightarrow \frac{4}{5}$ is greater than $\frac{3}{4}$
$\Rightarrow$ 4:5 is greater than 3:4