Question

$\frac{2}{5}+\frac{2}{5}$ is less than 1 because the sum of the numerators is less than the denominator, 5. choose the fraction that makes the statement true. $\frac{2}{5}+?$ is greater than 1.

Explanation:

Step1: Recall the equation for the sum

We know that \( \frac{2}{5} + x > 1 \), where \( x \) is the unknown fraction. First, rewrite \( 1 \) as \( \frac{5}{5} \) to have a common denominator.

Step2: Solve for \( x \)

Subtract \( \frac{2}{5} \) from both sides of the inequality: \( x > \frac{5}{5}-\frac{2}{5} \). Calculating the right - hand side, we get \( x > \frac{3}{5} \). So we need a fraction greater than \( \frac{3}{5} \). For example, if we take \( x=\frac{4}{5} \):
Check: \( \frac{2}{5}+\frac{4}{5}=\frac{2 + 4}{5}=\frac{6}{5}\), and \( \frac{6}{5}=1.2>1 \).

Answer:

A possible fraction is \( \frac{4}{5} \) (any fraction greater than \( \frac{3}{5} \) with denominator 5, like \( \frac{4}{5},\frac{5}{5} \) etc., would work. Here we take \( \frac{4}{5} \) as an example).