Basic Math Examples

$m \div 50 \cdot 144 = m \div 75 \cdot a$

Step 1

Rewrite the equation as $m \div 75 \cdot a = m \div 50 \cdot 144$ .

$m \div 75 \cdot a = m \div 50 \cdot 144$

Step 2

Simplify $m \div 75 \cdot a$ .

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Step 2.1

Rewrite the division as a fraction.

$\frac{m}{75} \cdot a = m \div 50 \cdot 144$

Step 2.2

Combine $\frac{m}{75}$ and $a$ .

$\frac{m a}{75} = m \div 50 \cdot 144$

Step 3

Simplify $m \div 50 \cdot 144$ .

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Step 3.1

Rewrite the division as a fraction.

$\frac{m a}{75} = \frac{m}{50} \cdot 144$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $50$ .

$\frac{m a}{75} = \frac{m}{2 (25)} \cdot 144$

Step 3.2.2

Factor $2$ out of $144$ .

$\frac{m a}{75} = \frac{m}{2 \cdot 25} \cdot (2 \cdot 72)$

Step 3.2.3

Cancel the common factor.

$\frac{m a}{75} = \frac{m}{2 \cdot 25} \cdot (2 \cdot 72)$

Step 3.2.4

Rewrite the expression.

$\frac{m a}{75} = \frac{m}{25} \cdot 72$

Step 3.3

Combine $\frac{m}{25}$ and $72$ .

$\frac{m a}{75} = \frac{m \cdot 72}{25}$

Step 3.4

Move $72$ to the left of $m$ .

$\frac{m a}{75} = \frac{72 m}{25}$

Step 4

Multiply both sides of the equation by $75$ .

$75 \frac{m a}{75} = 75 \frac{72 m}{25}$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $75$ .

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Step 5.1.1.1

Cancel the common factor.

$75 \frac{m a}{75} = 75 \frac{72 m}{25}$

Step 5.1.1.2

Rewrite the expression.

$m a = 75 \frac{72 m}{25}$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $75 \frac{72 m}{25}$ .

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Step 5.2.1.1

Cancel the common factor of $25$ .

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Step 5.2.1.1.1

Factor $25$ out of $75$ .

$m a = 25 (3) \frac{72 m}{25}$

Step 5.2.1.1.2

Cancel the common factor.

$m a = 25 \cdot 3 \frac{72 m}{25}$

Step 5.2.1.1.3

Rewrite the expression.

$m a = 3 (72 m)$

Step 5.2.1.2

Multiply $72$ by $3$ .

$m a = 216 m$

Step 6

Divide each term in $m a = 216 m$ by $m$ and simplify.

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Step 6.1

Divide each term in $m a = 216 m$ by $m$ .

$\frac{m a}{m} = \frac{216 m}{m}$

Step 6.2

Simplify the left side.

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Step 6.2.1

Cancel the common factor of $m$ .

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Step 6.2.1.1

Cancel the common factor.

$\frac{m a}{m} = \frac{216 m}{m}$

Step 6.2.1.2

Divide $a$ by $1$ .

$a = \frac{216 m}{m}$

Step 6.3

Simplify the right side.

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Step 6.3.1

Cancel the common factor of $m$ .

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Step 6.3.1.1

Cancel the common factor.

$a = \frac{216 m}{m}$

Step 6.3.1.2

Divide $216$ by $1$ .

$a = 216$