Adding Fractions with Same Denominator: 3/13 + 7/13

Question

Solve the following exercise:

313+713=? \frac{3}{13}+\frac{7}{13}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:05 Let's add the fractions under a common denominator
00:09 Let's calculate the numerator
00:12 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we add the fractions 313\frac{3}{13} and 713\frac{7}{13} which have the same denominator.

When fractions have the same denominator, we simply add the numerators and place the sum over the common denominator.

313+713=3+713=1013\frac{3}{13} + \frac{7}{13} = \frac{3 + 7}{13} = \frac{10}{13}

The sum of the numerators is 1010 and the denominator remains 1313.

Therefore, the solution to the problem is 1013\frac{10}{13}.

Answer

1013 \frac{10}{13}