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Question

Answer

$$1-\dfrac{54}{126}=\dfrac{4}{7}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}1-\frac{54}{126}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1 - \frac{ 54 : \color{orangered}{ 18 } }{ 126 : \color{orangered}{ 18 }} \xlongequal{ } \\[1 em] & \xlongequal{ }1-\frac{3}{7} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4}{7}\end{aligned} $$
①
Divide both the top and bottom numbers by $ \color{orangered}{ 18 } $.
②

Subtract $ \dfrac{3}{7} $ from $ 1 $ to get $ \dfrac{ \color{purple}{ 4 } }{ 7 }$.

Step 1: Write $ 1 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract fractions they must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ 7 }$.

$$ \begin{aligned} 1- \frac{3}{7} & \xlongequal{\text{Step 1}} \frac{1}{\color{red}{1}} - \frac{3}{7} = \frac{ 1 \cdot \color{blue}{ 7 }}{ 1 \cdot \color{blue}{ 7 }} - \frac{ 3 }{ 7 } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 7 } }{ 7 } - \frac{ \color{purple}{ 3 } }{ 7 }=\frac{ \color{purple}{ 4 } }{ 7 } \end{aligned} $$
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