Basic Math Examples

210 \div 1 \frac{6}{7}

$210 \div 1 \frac{6}{7}$

Step 1

Convert

1 \frac{6}{7}

$1 \frac{6}{7}$ to an improper fraction.

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Step 1.1

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

210 \div (1 + \frac{6}{7})

$210 \div (1 + \frac{6}{7})$

Step 1.2

Add

1

$1$ and

\frac{6}{7}

$\frac{6}{7}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

210 \div (\frac{7}{7} + \frac{6}{7})

$210 \div (\frac{7}{7} + \frac{6}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

210 \div \frac{7 + 6}{7}

$210 \div \frac{7 + 6}{7}$

Step 1.2.3

Add

7

$7$ and

6

$6$ .

210 \div \frac{13}{7}

$210 \div \frac{13}{7}$

210 \div \frac{13}{7}

$210 \div \frac{13}{7}$

210 \div \frac{13}{7}

$210 \div \frac{13}{7}$

Step 2

To divide by a fraction, multiply by its reciprocal.

210 (\frac{7}{13})

$210 (\frac{7}{13})$

Step 3

Multiply

210 (\frac{7}{13})

$210 (\frac{7}{13})$ .

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Step 3.1

Combine

210

$210$ and

\frac{7}{13}

$\frac{7}{13}$ .

\frac{210 \cdot 7}{13}

$\frac{210 \cdot 7}{13}$

Step 3.2

Multiply

210

$210$ by

7

$7$ .

\frac{1470}{13}

$\frac{1470}{13}$

\frac{1470}{13}

$\frac{1470}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1470}{13}

$\frac{1470}{13}$

Decimal Form:

113.07692307 \dots

$113.07692307 \dots$

Mixed Number Form:

113 \frac{1}{13}

$113 \frac{1}{13}$