Basic Math Examples

$\frac{3}{4} \cdot \frac{1}{2} \cdot m = 6$

Step 1

Multiply $\frac{3}{4} \cdot \frac{1}{2}$ .

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Step 1.1

Multiply $\frac{3}{4}$ by $\frac{1}{2}$ .

$\frac{3}{4 \cdot 2} \cdot m = 6$

Step 1.2

Multiply $4$ by $2$ .

$\frac{3}{8} \cdot m = 6$

Step 2

Multiply each term in $\frac{3}{8} m = 6$ by $\frac{8}{3}$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{3}{8} m = 6$ by $\frac{8}{3}$ .

$\frac{3}{8} m \frac{8}{3} = 6 (\frac{8}{3})$

Step 2.2

Simplify the left side.

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Step 2.2.1

Combine $\frac{3}{8}$ and $m$ .

$\frac{3 m}{8} \cdot \frac{8}{3} = 6 (\frac{8}{3})$

Step 2.2.2

Cancel the common factor of $3$ .

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Step 2.2.2.1

Factor $3$ out of $3 m$ .

$\frac{3 (m)}{8} \cdot \frac{8}{3} = 6 (\frac{8}{3})$

Step 2.2.2.2

Cancel the common factor.

$\frac{3 m}{8} \cdot \frac{8}{3} = 6 (\frac{8}{3})$

Step 2.2.2.3

Rewrite the expression.

$\frac{m}{8} \cdot 8 = 6 (\frac{8}{3})$

Step 2.2.3

Cancel the common factor of $8$ .

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Step 2.2.3.1

Cancel the common factor.

$\frac{m}{8} \cdot 8 = 6 (\frac{8}{3})$

Step 2.2.3.2

Rewrite the expression.

$m = 6 (\frac{8}{3})$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $3$ .

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Step 2.3.1.1

Factor $3$ out of $6$ .

$m = 3 (2) \frac{8}{3}$

Step 2.3.1.2

Cancel the common factor.

$m = 3 \cdot 2 \frac{8}{3}$

Step 2.3.1.3

Rewrite the expression.

$m = 2 \cdot 8$

Step 2.3.2

Multiply $2$ by $8$ .

$m = 16$