Solve the Fraction Addition: 2/3 + 1/6 Step by Step

Question

Solve the following equation:

$\frac{2}{3}+\frac{1}{6}=$

00:05 Let's solve this math problem.

00:08 First, multiply the fraction by 2 to find a common denominator.

00:13 Be sure to multiply both the numerator and the denominator.

00:17 Now, calculate the products and write them down.

00:23 Then, add the fractions together using the common denominator.

00:27 Go ahead and calculate the numerator.

00:31 And there you have it! That's the solution to the problem.

Let's begin by identifying the lowest common denominator between 3 and 6.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 3 and 6.

In this case, the common denominator is 6.

Let's proceed to multiply each fraction by the appropriate number in order to reach the denominator 6.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

$\frac{2\times2}{3\times2}+\frac{1\times1}{6\times1}=\frac{4}{6}+\frac{1}{6}$

Finally we'll combine and obtain the following result:

$\frac{4+1}{6}=\frac{5}{6}$

$\frac{5}{6}$