Solve Fraction Addition: 1/4 + 5/8 Step-by-Step

Video Solution

Solution Steps

00:05 Let's solve this problem together.

00:08 First, multiply the fraction by 2, so we have a common denominator.

00:13 Remember, multiply both the numerator and the denominator by 2.

00:18 Now, calculate the results of these multiplications.

00:26 Next, add the fractions with the common denominator.

00:30 And there you have it! That's the final solution to our question.

Step-by-Step Solution

We must first identify the lowest common denominator between 4 and 8.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 4 and 8.

In this case, the common denominator is 8.

We will then proceed to multiply each fraction by the appropriate number to reach the denominator 8.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

$\frac{1\times2}{4\times2}+\frac{5\times1}{8\times1}=\frac{2}{8}+\frac{5}{8}$

Finally we'll combine and obtain the following:

$\frac{2+5}{8}=\frac{7}{8}$