Question

Simplify 3/7x + 2/7x using properties of operations.(1 point)
Responses

5/7x
Start Fraction 5 over 7 End Fraction x

5/14x
Start Fraction 5 over 14 End Fraction x

5/14x2
Start Fraction 5 over 14 End Fraction x squared

5/7x2

Answer 1

To simplify the expression \( \frac{3}{7}x + \frac{2}{7}x \), you can combine the like terms.

Both terms have the same coefficient of \( \frac{1}{7} \) and the common variable \( x \).

So you can add the coefficients:

\[
\frac{3}{7} + \frac{2}{7} = \frac{3 + 2}{7} = \frac{5}{7}
\]

Thus, the combined expression is:

\[
\frac{5}{7}x
\]

Therefore, the simplified expression is:

**5/7x** (Start Fraction 5 over 7 End Fraction x).