Basic Math Examples

17.95 \div \frac{5}{8} \div \frac{3}{4} \cdot 16.2

$17.95 \div \frac{5}{8} \div \frac{3}{4} \cdot 16.2$

Step 1

Simplify the numerator.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

17.95 (\frac{8}{5}) \div \frac{3}{4} \cdot 16.2

$17.95 (\frac{8}{5}) \div \frac{3}{4} \cdot 16.2$

Step 1.2

Multiply

17.95 (\frac{8}{5})

$17.95 (\frac{8}{5})$ .

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Step 1.2.1

Combine

17.95

$17.95$ and

\frac{8}{5}

$\frac{8}{5}$ .

\frac{17.95 \cdot 8}{5} \div \frac{3}{4} \cdot 16.2

$\frac{17.95 \cdot 8}{5} \div \frac{3}{4} \cdot 16.2$

Step 1.2.2

Multiply

17.95

$17.95$ by

8

$8$ .

\frac{143.6}{5} \div \frac{3}{4} \cdot 16.2

$\frac{143.6}{5} \div \frac{3}{4} \cdot 16.2$

\frac{143.6}{5} \div \frac{3}{4} \cdot 16.2

$\frac{143.6}{5} \div \frac{3}{4} \cdot 16.2$

Step 1.3

Divide

143.6

$143.6$ by

5

$5$ .

28.72 \div \frac{3}{4} \cdot 16.2

$28.72 \div \frac{3}{4} \cdot 16.2$

28.72 \div \frac{3}{4} \cdot 16.2

$28.72 \div \frac{3}{4} \cdot 16.2$

Step 2

To divide by a fraction, multiply by its reciprocal.

28.72 (\frac{4}{3}) \cdot 16.2

$28.72 (\frac{4}{3}) \cdot 16.2$

Step 3

Multiply

28.72 (\frac{4}{3})

$28.72 (\frac{4}{3})$ .

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Step 3.1

Combine

28.72

$28.72$ and

\frac{4}{3}

$\frac{4}{3}$ .

\frac{28.72 \cdot 4}{3} \cdot 16.2

$\frac{28.72 \cdot 4}{3} \cdot 16.2$

Step 3.2

Multiply

28.72

$28.72$ by

4

$4$ .

\frac{114.88}{3} \cdot 16.2

$\frac{114.88}{3} \cdot 16.2$

\frac{114.88}{3} \cdot 16.2

$\frac{114.88}{3} \cdot 16.2$

Step 4

Divide

114.88

$114.88$ by

3

$3$ .

38.29\overline{3} \cdot 16.2

$38.29\overline{3} \cdot 16.2$

Step 5

Multiply

38.29\overline{3}

$38.29\overline{3}$ by

16.2

$16.2$ .

620.351\overline{9}

$620.351\overline{9}$