Basic Math Examples

30 \div 1 \frac{3}{4}

$30 \div 1 \frac{3}{4}$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

30 \div (1 + \frac{3}{4})

$30 \div (1 + \frac{3}{4})$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

30 \div (\frac{4}{4} + \frac{3}{4})

$30 \div (\frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine the numerators over the common denominator.

30 \div \frac{4 + 3}{4}

$30 \div \frac{4 + 3}{4}$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

30 \div \frac{7}{4}

$30 \div \frac{7}{4}$

30 \div \frac{7}{4}

$30 \div \frac{7}{4}$

30 \div \frac{7}{4}

$30 \div \frac{7}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

30 (\frac{4}{7})

$30 (\frac{4}{7})$

Step 3

Multiply

30 (\frac{4}{7})

$30 (\frac{4}{7})$ .

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Step 3.1

Combine

30

$30$ and

\frac{4}{7}

$\frac{4}{7}$ .

\frac{30 \cdot 4}{7}

$\frac{30 \cdot 4}{7}$

Step 3.2

Multiply

30

$30$ by

4

$4$ .

\frac{120}{7}

$\frac{120}{7}$

\frac{120}{7}

$\frac{120}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{120}{7}

$\frac{120}{7}$

Decimal Form:

17.14285714 \dots

$17.14285714 \dots$

Mixed Number Form:

17 \frac{1}{7}

$17 \frac{1}{7}$