Basic Math Examples

\frac{12}{13} = \frac{650}{W}

$\frac{12}{13} = \frac{650}{W}$

Step 1

Rewrite the equation as

\frac{650}{W} = \frac{12}{13}

$\frac{650}{W} = \frac{12}{13}$ .

\frac{650}{W} = \frac{12}{13}

$\frac{650}{W} = \frac{12}{13}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

650 \cdot 13 = W \cdot 12

$650 \cdot 13 = W \cdot 12$

Step 3

Solve the equation for

W

$W$ .

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Step 3.1

Rewrite the equation as

W \cdot 12 = 650 \cdot 13

$W \cdot 12 = 650 \cdot 13$ .

W \cdot 12 = 650 \cdot 13

$W \cdot 12 = 650 \cdot 13$

Step 3.2

Multiply

650

$650$ by

13

$13$ .

W \cdot 12 = 8450

$W \cdot 12 = 8450$

Step 3.3

Divide each term in

W \cdot 12 = 8450

$W \cdot 12 = 8450$ by

12

$12$ and simplify.

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Step 3.3.1

Divide each term in

W \cdot 12 = 8450

$W \cdot 12 = 8450$ by

12

$12$ .

\frac{W \cdot 12}{12} = \frac{8450}{12}

$\frac{W \cdot 12}{12} = \frac{8450}{12}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of

12

$12$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{W \cdot 12}{12} = \frac{8450}{12}$

Step 3.3.2.1.2

Divide

$W$ by

$1$ .

$W = \frac{8450}{12}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Cancel the common factor of

$8450$ and

$12$ .

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Step 3.3.3.1.1

Factor

$2$ out of

$8450$ .

$W = \frac{2 (4225)}{12}$

Step 3.3.3.1.2

Cancel the common factors.

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Step 3.3.3.1.2.1

Factor

$2$ out of

$12$ .

$W = \frac{2 \cdot 4225}{2 \cdot 6}$

Step 3.3.3.1.2.2

Cancel the common factor.

$W = \frac{2 \cdot 4225}{2 \cdot 6}$

Step 3.3.3.1.2.3

Rewrite the expression.

$W = \frac{4225}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$W = \frac{4225}{6}$

Decimal Form:

$W = 704.1\overline{6}$

Mixed Number Form:

$W = 704 \frac{1}{6}$