Tap the blue circles to see an explanation.
| $$ \begin{aligned}56 \cdot \frac{g}{245}g+147& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{56g}{245}g+147 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{56g^2}{245}+147 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{56g^2+36015}{245}\end{aligned} $$ | |
| ① | Multiply $56$ by $ \dfrac{g}{245} $ to get $ \dfrac{ 56g }{ 245 } $. Step 1: Write $ 56 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 56 \cdot \frac{g}{245} & \xlongequal{\text{Step 1}} \frac{56}{\color{red}{1}} \cdot \frac{g}{245} \xlongequal{\text{Step 2}} \frac{ 56 \cdot g }{ 1 \cdot 245 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 56g }{ 245 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{56g}{245} $ by $ g $ to get $ \dfrac{ 56g^2 }{ 245 } $. Step 1: Write $ g $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{56g}{245} \cdot g & \xlongequal{\text{Step 1}} \frac{56g}{245} \cdot \frac{g}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 56g \cdot g }{ 245 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 56g^2 }{ 245 } \end{aligned} $$ |
| ③ | Add $ \dfrac{56g^2}{245} $ and $ 147 $ to get $ \dfrac{ \color{purple}{ 56g^2+36015 } }{ 245 }$. Step 1: Write $ 147 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: To add raitonal expressions, both fractions must have the same denominator. |