Add the following mixed numbers. $$3 \frac { 1 } { 7 } + 4 \frac { 5 } { 7 }$$
A) $7 \frac { 5 } { 7 }$
B) $\frac { 6 } { 7 }$
C) $8$
D) $7 \frac { 6 } { 7 }$
E) $7$

Question

Quizplus · Accepted Answer

To add mixed numbers, we need to first add the whole numbers and then the fractions separately. Adding the whole numbers gives $3+4=7$. To add the fractions, we need a common denominator of $7$. We can convert $3\frac{1}{7}$ to $3+\frac{1}{7}$ and $4\frac{5}{7}$ to $4+\frac{5}{7}$. Then, adding the fractions gives $\frac{1}{7}+\frac{5}{7}=\frac{6}{7}$. So our final answer is $7 \frac { 6 } { 7 }$. Therefore, the best choice is $\boxed{	extbf{(D)}}$.

Add the Following Mixed Numbers 317+4573 \frac { 1 } { 7 } + 4 \frac { 5 } { 7 }371​+475​

Add the Following Mixed Numbers $3 \frac { 1 } { 7 } + 4 \frac { 5 } { 7 }$