Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Answer

$$\dfrac{3}{4}+(-\dfrac{7}{12})+\dfrac{13}{24}=\dfrac{17}{24}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}\frac{3}{4}+(-\frac{7}{12})+\frac{13}{24}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{6}+\frac{13}{24} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{17}{24}\end{aligned} $$
①
Combine like terms
②

Add $ \dfrac{1}{6} $ and $ \dfrac{13}{24} $ to get $ \dfrac{ \color{purple}{ 17 } }{ 24 }$.

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

$$ \begin{aligned} \frac{1}{6} + \frac{13}{24} & = \frac{ 1 \cdot \color{blue}{ 4 }}{ 6 \cdot \color{blue}{ 4 }} + \frac{ 13 }{ 24 } = \\[1ex] &=\frac{ \color{purple}{ 4 } }{ 24 } + \frac{ \color{purple}{ 13 } }{ 24 }=\frac{ \color{purple}{ 17 } }{ 24 } \end{aligned} $$
This page was created using
Simplify Rational Expressions