Basic Math Examples

$\frac{36}{7} = \frac{72}{t}$

Step 1

Rewrite the equation as

$\frac{72}{t} = \frac{36}{7}$ .

$\frac{72}{t} = \frac{36}{7}$

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.

$72 \cdot 7 = t \cdot 36$

Step 3

Solve the equation for

$t$ .

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Step 3.1

Rewrite the equation as

$t \cdot 36 = 72 \cdot 7$ .

$t \cdot 36 = 72 \cdot 7$

Step 3.2

Multiply

$72$ by

$7$ .

$t \cdot 36 = 504$

Step 3.3

Divide each term in

$t \cdot 36 = 504$ by

$36$ and simplify.

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Step 3.3.1

Divide each term in

$t \cdot 36 = 504$ by

$36$ .

$\frac{t \cdot 36}{36} = \frac{504}{36}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of

$36$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{t \cdot 36}{36} = \frac{504}{36}$

Step 3.3.2.1.2

Divide

$t$ by

$1$ .

$t = \frac{504}{36}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide

$504$ by

$36$ .

$t = 14$