To complete the equation that expresses [tex]\(\frac{5}{8}\)[/tex] as the sum of three fractions, let's break down the process step by step.
We are given that the equation is:
[tex]\[
\frac{5}{8} = \frac{1}{8} + \frac{?}{8} + \frac{1}{8}
\][/tex]
First, note that two of the fractions are already specified:
[tex]\[
\frac{5}{8} = \frac{1}{8} + \frac{?}{8} + \frac{1}{8}
\][/tex]
Let's isolate the unknown fraction. Start by adding the known fractions:
[tex]\[
\frac{1}{8} + \frac{1}{8} = \frac{2}{8}
\][/tex]
Next, subtract [tex]\(\frac{2}{8}\)[/tex] from [tex]\(\frac{5}{8}\)[/tex] to find the unknown fraction:
[tex]\[
\frac{5}{8} - \frac{2}{8} = \frac{3}{8}
\][/tex]
The unknown fraction is [tex]\(\frac{3}{8}\)[/tex]. Therefore, the complete equation is:
[tex]\[
\frac{5}{8} = \frac{1}{8} + \frac{3}{8} + \frac{1}{8}
\][/tex]
This shows [tex]\(\frac{5}{8}\)[/tex] as the sum of the three fractions: [tex]\(\frac{1}{8}\)[/tex], [tex]\(\frac{3}{8}\)[/tex], and [tex]\(\frac{1}{8}\)[/tex].
