Basic Math Examples

$\frac{5}{72} \cdot \frac{72}{5} \cdot n = \frac{5}{72} \cdot 14$

Step 1

Simplify $\frac{5}{72} \cdot \frac{72}{5} \cdot n$ .

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Cancel the common factor.

$\frac{5}{72} \cdot \frac{72}{5} \cdot n = \frac{5}{72} \cdot 14$

Step 1.1.2

Rewrite the expression.

$\frac{1}{72} \cdot 72 \cdot n = \frac{5}{72} \cdot 14$

Step 1.2

Cancel the common factor of $72$ .

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Step 1.2.1

Cancel the common factor.

$\frac{1}{72} \cdot 72 \cdot n = \frac{5}{72} \cdot 14$

Step 1.2.2

Rewrite the expression.

$1 \cdot n = \frac{5}{72} \cdot 14$

Step 1.3

Multiply $n$ by $1$ .

$n = \frac{5}{72} \cdot 14$

Step 2

Simplify $\frac{5}{72} \cdot 14$ .

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $72$ .

$n = \frac{5}{2 (36)} \cdot 14$

Step 2.1.2

Factor $2$ out of $14$ .

$n = \frac{5}{2 \cdot 36} \cdot (2 \cdot 7)$

Step 2.1.3

Cancel the common factor.

$n = \frac{5}{2 \cdot 36} \cdot (2 \cdot 7)$

Step 2.1.4

Rewrite the expression.

$n = \frac{5}{36} \cdot 7$

Step 2.2

Combine $\frac{5}{36}$ and $7$ .

$n = \frac{5 \cdot 7}{36}$

Step 2.3

Multiply $5$ by $7$ .

$n = \frac{35}{36}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{35}{36}$

Decimal Form:

$n = 0.97\overline{2}$