Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

back to index

Answer

$$\frac{1}{8}+\frac{1}{2}=\frac{5}{8}$$

Explanation

$$ \begin{aligned}\frac{1}{8}+\frac{1}{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{8}\end{aligned} $$
①

Add $ \dfrac{1}{8} $ and $ \dfrac{1}{2} $ to get $ \dfrac{ \color{purple}{ 5 } }{ 8 }$.

To add fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{4}$.

$$ \begin{aligned} \frac{1}{8} + \frac{1}{2} & = \frac{ 1 }{ 8 } + \frac{ 1 \cdot \color{blue}{ 4 }}{ 2 \cdot \color{blue}{ 4 }} = \\[1ex] &=\frac{ \color{purple}{ 1 } }{ 8 } + \frac{ \color{purple}{ 4 } }{ 8 }=\frac{ \color{purple}{ 5 } }{ 8 } \end{aligned} $$
This page was created using
Simplify Rational Expressions