Solve the Fraction Addition: 2/5 + 3/6 Step-by-Step

Question

Solve the following exercise:

25+36= \frac{2}{5}+\frac{3}{6}=

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
00:22 Add with the common denominator
00:26 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 5 and 6

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 6

In this case, the common denominator is 30

Now we'll multiply each fraction by the appropriate number to reach the denominator 30

We'll multiply the first fraction by 6

We'll multiply the second fraction by 5

2×65×6+3×56×5=1230+1530 \frac{2\times6}{5\times6}+\frac{3\times5}{6\times5}=\frac{12}{30}+\frac{15}{30}

Now we'll combine and get:

12+1530=2730 \frac{12+15}{30}=\frac{27}{30}

Answer

2730 \frac{27}{30}