Basic Math Examples

\frac{7}{7} - 10 \frac{1}{7}

$\frac{7}{7} - 10 \frac{1}{7}$

Step 1

Convert

10 \frac{1}{7}

$10 \frac{1}{7}$ to an improper fraction.

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Step 1.1

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

\frac{7}{7} - (10 + \frac{1}{7})

$\frac{7}{7} - (10 + \frac{1}{7})$

Step 1.2

Add

10

$10$ and

\frac{1}{7}

$\frac{1}{7}$ .

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Step 1.2.1

To write

10

$10$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{7}{7} - (10 \cdot \frac{7}{7} + \frac{1}{7})

$\frac{7}{7} - (10 \cdot \frac{7}{7} + \frac{1}{7})$

Step 1.2.2

Combine

10

$10$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{7}{7} - (\frac{10 \cdot 7}{7} + \frac{1}{7})

$\frac{7}{7} - (\frac{10 \cdot 7}{7} + \frac{1}{7})$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{7}{7} - \frac{10 \cdot 7 + 1}{7}

$\frac{7}{7} - \frac{10 \cdot 7 + 1}{7}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

10

$10$ by

7

$7$ .

\frac{7}{7} - \frac{70 + 1}{7}

$\frac{7}{7} - \frac{70 + 1}{7}$

Step 1.2.4.2

Add

70

$70$ and

1

$1$ .

\frac{7}{7} - \frac{71}{7}

$\frac{7}{7} - \frac{71}{7}$

\frac{7}{7} - \frac{71}{7}

$\frac{7}{7} - \frac{71}{7}$

\frac{7}{7} - \frac{71}{7}

$\frac{7}{7} - \frac{71}{7}$

\frac{7}{7} - \frac{71}{7}

$\frac{7}{7} - \frac{71}{7}$

Step 2

Combine the numerators over the common denominator.

\frac{7 - 71}{7}

$\frac{7 - 71}{7}$

Step 3

Simplify the expression.

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Step 3.1

Subtract

71

$71$ from

7

$7$ .

\frac{- 64}{7}

$\frac{- 64}{7}$

Step 3.2

Move the negative in front of the fraction.

- \frac{64}{7}

$- \frac{64}{7}$

- \frac{64}{7}

$- \frac{64}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \frac{64}{7}

$- \frac{64}{7}$

Decimal Form:

- 9. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 142857

$- 9.\overline{142857}$

Mixed Number Form:

- 9 \frac{1}{7}

$- 9 \frac{1}{7}$