Solve the Fraction Addition: 2/6 + 3/7 Step-by-Step

Question

Solve the following exercise:

26+37= \frac{2}{6}+\frac{3}{7}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by the second denominator to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:14 Calculate the products
00:20 Add with the common denominator
00:27 Calculate the numerator
00:30 And this is the solution to the question

Step-by-Step Solution

Let's try to find the lowest common denominator between 6 and 7

To find the lowest common denominator, we need to find a number that is divisible by both 6 and 7

In this case, the common denominator is 42

Now we'll multiply each fraction by the appropriate number to reach the denominator 42

We'll multiply the first fraction by 7

We'll multiply the second fraction by 6

2×76×7+3×67×6=1442+1842 \frac{2\times7}{6\times7}+\frac{3\times6}{7\times6}=\frac{14}{42}+\frac{18}{42}

Now we'll combine and get:

14+1842=3242 \frac{14+18}{42}=\frac{32}{42}

Answer

3242 \frac{32}{42}