Solve the Fraction Addition: 2/5 + 1/6 Step-by-Step

Question

Solve the following exercise:

25+16= \frac{2}{5}+\frac{1}{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
00:15 Calculate the products
00:21 Add with the common denominator
00:25 Calculate the numerator
00:29 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+1×56×5=1230+530 \frac{2\times6}{5\times6}+\frac{1\times5}{6\times5}=\frac{12}{30}+\frac{5}{30}

Now we'll combine and get:

12+530=1730 \frac{12+5}{30}=\frac{17}{30}

Answer

1730 \frac{17}{30}