Solve the Fraction Addition: 1/2 + 3/8 Step by Step

Question

Solve the following equation:

12+38= \frac{1}{2}+\frac{3}{8}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply the fraction by 4 to find the common denominator
00:06 Make sure to multiply both numerator and denominator
00:12 Calculate the multiplications
00:17 Connect with the common denominator
00:20 And this is the solution to the problem

Step-by-Step Solution

Let's first identify the lowest common denominator between 2 and 8.

In order to determine the lowest common denominator, we need to first find a number that is divisible by both 2 and 8.

In this case, the common denominator is 8.

We'll then proceed to multiply each fraction by the appropriate number in order to reach the denominator 8.

We'll multiply the first fraction by 4

We'll multiply the second fraction by 1

1×42×4+3×18×1=48+38 \frac{1\times4}{2\times4}+\frac{3\times1}{8\times1}=\frac{4}{8}+\frac{3}{8}

Finally we'll combine and obtain the following:

4+38=78 \frac{4+3}{8}=\frac{7}{8}

Answer

78 \frac{7}{8}