Question

consider these two fractions. convert them into a pair of fractions with a common denominator.
\\(\frac{3}{4}\\) and \\(\frac{2}{5}\\)
enter the correct numbers in the boxes.
show hints
\\(\frac{3}{4} = \frac{square}{square} \times \frac{3}{square} = \frac{square}{20}\\) \\(\frac{2}{5} = \frac{square}{square} \times \frac{square}{square} = \frac{square}{square}\\)

Explanation:

Step1: Find common denominator

The least common multiple of 4 and 5 is 20.

Step2: Adjust first fraction

Multiply numerator and denominator of $\frac{3}{4}$ by 5 to get denominator 20.
$\frac{3}{4} = \frac{5}{5} \times \frac{3}{4} = \frac{15}{20}$

Step3: Adjust second fraction

Multiply numerator and denominator of $\frac{2}{5}$ by 4 to get denominator 20.
$\frac{2}{5} = \frac{4}{4} \times \frac{2}{5} = \frac{8}{20}$

Answer:

$\frac{3}{4} = \frac{5}{5} \times \frac{3}{4} = \frac{15}{20}$
$\frac{2}{5} = \frac{4}{4} \times \frac{2}{5} = \frac{8}{20}$