Question
Answer
$$b+\dfrac{1}{28}b=\dfrac{29b}{28}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}b+\frac{1}{28}b& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(1+\frac{1}{28})b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{29}{28}b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{29b}{28}\end{aligned} $$ | |
| ① | Use the distributive property. |
| ② | Combine like terms |
| ③ | Multiply $ \dfrac{29}{28} $ by $ b $ to get $ \dfrac{ 29b }{ 28 } $. Step 1: Write $ b $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{29}{28} \cdot b & \xlongequal{\text{Step 1}} \frac{29}{28} \cdot \frac{b}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 29 \cdot b }{ 28 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 29b }{ 28 } \end{aligned} $$ |
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Simplify Rational Expressions