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

Question

Solve the following equation:

23+16= \frac{2}{3}+\frac{1}{6}=

Video Solution

Step-by-Step Solution

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

2×23×2+1×16×1=46+16 \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:

4+16=56 \frac{4+1}{6}=\frac{5}{6}

Answer

56 \frac{5}{6}