Basic Math Examples

$57 = \frac{5}{9} c + 32$

Step 1

Rewrite the equation as $\frac{5}{9} c + 32 = 57$ .

$\frac{5}{9} c + 32 = 57$

Step 2

Combine $\frac{5}{9}$ and $c$ .

$\frac{5 c}{9} + 32 = 57$

Step 3

Move all terms not containing $c$ to the right side of the equation.

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Step 3.1

Subtract $32$ from both sides of the equation.

$\frac{5 c}{9} = 57 - 32$

Step 3.2

Subtract $32$ from $57$ .

$\frac{5 c}{9} = 25$

Step 4

Multiply both sides of the equation by $\frac{9}{5}$ .

$\frac{9}{5} \cdot \frac{5 c}{9} = \frac{9}{5} \cdot 25$

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

Simplify $\frac{9}{5} \cdot \frac{5 c}{9}$ .

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Step 5.1.1.1

Cancel the common factor of $9$ .

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Step 5.1.1.1.1

Cancel the common factor.

$\frac{9}{5} \cdot \frac{5 c}{9} = \frac{9}{5} \cdot 25$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{5} (5 c) = \frac{9}{5} \cdot 25$

Step 5.1.1.2

Cancel the common factor of $5$ .

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Step 5.1.1.2.1

Factor $5$ out of $5 c$ .

$\frac{1}{5} (5 (c)) = \frac{9}{5} \cdot 25$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{5} (5 c) = \frac{9}{5} \cdot 25$

Step 5.1.1.2.3

Rewrite the expression.

$c = \frac{9}{5} \cdot 25$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $\frac{9}{5} \cdot 25$ .

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Step 5.2.1.1

Cancel the common factor of $5$ .

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Step 5.2.1.1.1

Factor $5$ out of $25$ .

$c = \frac{9}{5} \cdot (5 (5))$

Step 5.2.1.1.2

Cancel the common factor.

$c = \frac{9}{5} \cdot (5 \cdot 5)$

Step 5.2.1.1.3

Rewrite the expression.

$c = 9 \cdot 5$

Step 5.2.1.2

Multiply $9$ by $5$ .

$c = 45$