Question
Simplify 3/7 x + 2/7 x
using properties of operations.(1 point)
Responses
5/7 x
Start Fraction 5 over 7 End Fraction x
5/14 x
Start Fraction 5 over 14 End Fraction x
5/14 x^2
Start Fraction 5 over 14 End Fraction x squared
5/7 x^2
using properties of operations.(1 point)
Responses
5/7 x
Start Fraction 5 over 7 End Fraction x
5/14 x
Start Fraction 5 over 14 End Fraction x
5/14 x^2
Start Fraction 5 over 14 End Fraction x squared
5/7 x^2
Answers
GPT-4o mini
To simplify \( \frac{3}{7} x + \frac{2}{7} x \), you can combine the coefficients since they have a common denominator:
\[
\frac{3}{7} x + \frac{2}{7} x = \left( \frac{3}{7} + \frac{2}{7} \right) x = \frac{5}{7} x
\]
So the simplified expression is:
\[
\frac{5}{7} x
\]
Therefore, the correct response is:
**5/7 x**
\[
\frac{3}{7} x + \frac{2}{7} x = \left( \frac{3}{7} + \frac{2}{7} \right) x = \frac{5}{7} x
\]
So the simplified expression is:
\[
\frac{5}{7} x
\]
Therefore, the correct response is:
**5/7 x**