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

Solve the following exercise:

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

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Step-by-step video solution

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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 written solution

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1

Understand the problem

Solve the following exercise:

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

2

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}.

3

Final Answer

1013 \frac{10}{13}

Practice Quiz

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\( \)\( \frac{4}{5}+\frac{1}{5}= \)

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