Complete the operation and simplify if necessary. $\frac { 4 } { 13 } + \frac { 7 } { 26 }$
A) $\frac { 3 } { 19 }$
B) $\frac { 15 } { 26 }$
C) $\frac { 15 } { 52 }$
D) $15$
E) $\frac { 9 } { 13 }$

Question

Quizplus · Accepted Answer

To add fractions with unlike denominators, we first need to find a common denominator. In this case, the smallest common denominator is 26. We can convert the first fraction to have a denominator of 26 by multiplying the numerator and denominator by 2. This gives us $\frac{4\cdot2}{13\cdot2}=\frac{8}{26}$. Then, we can add the two fractions with the same denominator: $\frac{8}{26}+\frac{7}{26}=\frac{15}{26}$. We cannot simplify this fraction any further, so the answer is $\frac{15}{26}$, or choice B.

Complete the Operation and Simplify If Necessary 413+726\frac { 4 } { 13 } + \frac { 7 } { 26 }134​+267​

Complete the Operation and Simplify If Necessary $\frac { 4 } { 13 } + \frac { 7 } { 26 }$