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

Question

Solve the following exercise:

$\frac{2}{5}+\frac{1}{6}=$

00:05 Let's solve this problem together.

00:08 First, multiply each fraction by the other fraction's denominator. This helps us find a common denominator.

00:15 Remember to multiply both the numerator and the denominator by this value.

00:21 Next, calculate the products of these fractions.

00:26 Now, add the fractions together using the common denominator.

00:30 And then, compute the numerator by adding.

00:34 Great job! That's how we find the solution to this problem.

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

$\frac{2\times6}{5\times6}+\frac{1\times5}{6\times5}=\frac{12}{30}+\frac{5}{30}$

Now we'll combine and get:

$\frac{12+5}{30}=\frac{17}{30}$

$\frac{17}{30}$