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

00:05 Let's solve this problem together!
00:08 Multiply the whole fraction by 4, to find a common denominator.
00:13 Remember, to multiply both the top, and the bottom numbers.
00:18 Now, calculate each multiplication carefully.
00:23 Combine your results with the common denominator.
00:26 Great job! That's how we find the solution.

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}