Question

choose the fraction that makes the statement true.
\\(\frac{2}{5}\\) + ? is greater than 1.

Explanation:

Step1: Let the unknown fraction be \( x \). The inequality is \( \frac{2}{5}+x > 1 \).

Step2: Solve for \( x \) by subtracting \( \frac{2}{5} \) from both sides. \( x>1 - \frac{2}{5} \).

Step3: Calculate \( 1-\frac{2}{5}=\frac{5}{5}-\frac{2}{5}=\frac{3}{5} \). So \( x \) must be a fraction greater than \( \frac{3}{5} \). For example, \( \frac{4}{5} \) (any fraction with numerator > 3 and denominator 5, or other fractions like \( \frac{5}{6} \) etc. will work. Let's take \( \frac{4}{5} \) as an example).

Step4: Check: \( \frac{2}{5}+\frac{4}{5}=\frac{6}{5} \), and \( \frac{6}{5}>1 \) (since \( \frac{6}{5} = 1.2 \) and \( 1.2>1 \)).

Answer:

A possible fraction is \( \boldsymbol{\frac{4}{5}} \) (other valid fractions like \( \frac{3}{4},\frac{5}{5} \) etc. also work).