Basic Math Examples

$\frac{3}{7} p = 48$

Step 1

Multiply both sides of the equation by $\frac{7}{3}$ .

$\frac{7}{3} (\frac{3}{7} p) = \frac{7}{3} \cdot 48$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{7}{3} (\frac{3}{7} p)$ .

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Step 2.1.1.1

Combine $\frac{3}{7}$ and $p$ .

$\frac{7}{3} \cdot \frac{3 p}{7} = \frac{7}{3} \cdot 48$

Step 2.1.1.2

Cancel the common factor of $7$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{7}{3} \cdot \frac{3 p}{7} = \frac{7}{3} \cdot 48$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{3} (3 p) = \frac{7}{3} \cdot 48$

Step 2.1.1.3

Cancel the common factor of $3$ .

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Step 2.1.1.3.1

Factor $3$ out of $3 p$ .

$\frac{1}{3} (3 (p)) = \frac{7}{3} \cdot 48$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{3} (3 p) = \frac{7}{3} \cdot 48$

Step 2.1.1.3.3

Rewrite the expression.

$p = \frac{7}{3} \cdot 48$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{7}{3} \cdot 48$ .

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Step 2.2.1.1

Cancel the common factor of $3$ .

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Step 2.2.1.1.1

Factor $3$ out of $48$ .

$p = \frac{7}{3} \cdot (3 (16))$

Step 2.2.1.1.2

Cancel the common factor.

$p = \frac{7}{3} \cdot (3 \cdot 16)$

Step 2.2.1.1.3

Rewrite the expression.

$p = 7 \cdot 16$

Step 2.2.1.2

Multiply $7$ by $16$ .

$p = 112$