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Which methods correctly solve for the variable x in the equation 2/5m = 8?

Which methods correctly solve for the variable x in the equation 2/5m = 8?-example-1
User PulsePanda
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Ok, so the equation is (2/5)m=8

1st option: Divide by 2 on both sides, then multiply by 5 on both sides:


\begin{gathered} (2)/(10)m=4 \\ (10)/(10)m=20 \\ m=20 \end{gathered}

2nd option: Multiply both sides by 5/2


\begin{gathered} (2)/(5)\cdot(5)/(2)m=8\cdot(5)/(2) \\ m=20 \end{gathered}

3rd option: First dristibute 2/5 to (m=8), the multiply by 5/2 in both sides


\begin{gathered} (2)/(5)m=8 \\ (5)/(2)\cdot(2)/(5)m=8\cdot(5)/(2) \\ m=20 \end{gathered}

4th option: Divide both sides by 2/5:


\begin{gathered} ((2)/(5))/((2)/(5))m=8\cdot(5)/(2) \\ m=20 \end{gathered}

5th option: First, multiply by 5. Then, divide by 2.


\begin{gathered} 5\cdot(2)/(5)m=40 \\ 2m/2=40/2 \\ m=20 \\ \end{gathered}

All the methods are correct

User Bitsplit
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