Question

choose the fraction that makes the statement true. \\(\frac{2}{5}+\\) ? is less 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 less than \( \frac{3}{5} \). For example, \( \frac{1}{5} \) (any fraction with numerator less than 3 when denominator is 5, or equivalent fractions, will work. Let's take \( \frac{1}{5} \) as an example).

Answer:

A valid fraction is \( \frac{1}{5} \) (other valid fractions include \( \frac{2}{5} \), \( \frac{1}{10} \), etc., as long as they satisfy \( x < \frac{3}{5} \)).