Solve the Addition: 2/7 + 2/7 Step-by-Step

Question

Solve the following exercise:

27+27=? \frac{2}{7}+\frac{2}{7}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's add the fractions under a common denominator
00:08 Let's calculate the numerator
00:11 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding 27\frac{2}{7} and 27\frac{2}{7}, we proceed with the following steps:

Step 1: Identify the common denominator, which is 7 in this case. Since both fractions have the same denominator, we can apply the formula directly for adding fractions with a common denominator:

ac+bc=a+bc \frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}

Step 2: Add the numerators of the fractions. Combining the numerators, we have:

2+2=4 2 + 2 = 4

Step 3: Write the resulting fraction using the sum of the numerators and the common denominator. The resulting fraction becomes:

47 \frac{4}{7}

Conclusion: By adding the numerators and using the shared denominator, the sum of 27+27\frac{2}{7} + \frac{2}{7} is 47\frac{4}{7}.

The correct answer choice is 47\frac{4}{7}, and this corresponds to choice 4.

Thus, the solution to the problem is 47 \frac{4}{7} .

Answer

47 \frac{4}{7}