Basic Math Examples

\frac{167}{70} - \frac{37}{7}

$\frac{167}{70} - \frac{37}{7}$

Step 1

To write

- \frac{37}{7}

$- \frac{37}{7}$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{167}{70} - \frac{37}{7} \cdot \frac{10}{10}

$\frac{167}{70} - \frac{37}{7} \cdot \frac{10}{10}$

Step 2

Write each expression with a common denominator of

70

$70$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{37}{7}

$\frac{37}{7}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{167}{70} - \frac{37 \cdot 10}{7 \cdot 10}

$\frac{167}{70} - \frac{37 \cdot 10}{7 \cdot 10}$

Step 2.2

Multiply

7

$7$ by

10

$10$ .

\frac{167}{70} - \frac{37 \cdot 10}{70}

$\frac{167}{70} - \frac{37 \cdot 10}{70}$

\frac{167}{70} - \frac{37 \cdot 10}{70}

$\frac{167}{70} - \frac{37 \cdot 10}{70}$

Step 3

Combine the numerators over the common denominator.

\frac{167 - 37 \cdot 10}{70}

$\frac{167 - 37 \cdot 10}{70}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 37

$- 37$ by

10

$10$ .

\frac{167 - 370}{70}

$\frac{167 - 370}{70}$

Step 4.2

Subtract

370

$370$ from

167

$167$ .

\frac{- 203}{70}

$\frac{- 203}{70}$

\frac{- 203}{70}

$\frac{- 203}{70}$

Step 5

Cancel the common factor of

- 203

$- 203$ and

70

$70$ .

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Step 5.1

Factor

7

$7$ out of

- 203

$- 203$ .

\frac{7 (- 29)}{70}

$\frac{7 (- 29)}{70}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

7

$7$ out of

70

$70$ .

\frac{7 \cdot - 29}{7 \cdot 10}

$\frac{7 \cdot - 29}{7 \cdot 10}$

Step 5.2.2

Cancel the common factor.

\frac{7 \cdot - 29}{7 \cdot 10}

$\frac{7 \cdot - 29}{7 \cdot 10}$

Step 5.2.3

Rewrite the expression.

\frac{- 29}{10}

$\frac{- 29}{10}$

\frac{- 29}{10}

$\frac{- 29}{10}$

\frac{- 29}{10}

$\frac{- 29}{10}$

Step 6

Move the negative in front of the fraction.

- \frac{29}{10}

$- \frac{29}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{29}{10}

$- \frac{29}{10}$

Decimal Form:

- 2.9

$- 2.9$

Mixed Number Form:

- 2 \frac{9}{10}

$- 2 \frac{9}{10}$