Question

$\frac{u + 7}{7} + \frac{u - 7}{7}$
which of the following is equivalent to the given expression?
choose 1 answer:
a $\frac{u - u}{7}$
b $\frac{u + u}{7}$
c $\frac{7 + 7}{7}$
d $\frac{7 - 7}{7}$

Explanation:

Step1: Combine the fractions

Since the two fractions have the same denominator, we can add their numerators: $\frac{u + 7}{7}+\frac{u - 7}{7}=\frac{(u + 7)+(u - 7)}{7}$

Step2: Simplify the numerator

Simplify the numerator by combining like terms: $(u + 7)+(u - 7)=u + 7+u - 7=u + u+(7 - 7)=u + u$
So the expression becomes $\frac{u + u}{7}$

Answer:

B. $\frac{u + u}{7}$