Basic Math Examples

$2 \div 2 \frac{2}{4} \div (- \frac{2}{10 - 4})$

Step 1

Convert

$2 \frac{2}{4}$ to an improper fraction.

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Step 1.1

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

$2 \div (2 + \frac{2}{4}) \div (- \frac{2}{10 - 4})$

Step 1.2

Add

$2$ and

$\frac{2}{4}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$2 \div (2 \cdot \frac{4}{4} + \frac{2}{4}) \div (- \frac{2}{10 - 4})$

Step 1.2.2

Combine

$2$ and

$\frac{4}{4}$ .

$2 \div (\frac{2 \cdot 4}{4} + \frac{2}{4}) \div (- \frac{2}{10 - 4})$

Step 1.2.3

Combine the numerators over the common denominator.

$2 \div \frac{2 \cdot 4 + 2}{4} \div (- \frac{2}{10 - 4})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$4$ .

$2 \div \frac{8 + 2}{4} \div (- \frac{2}{10 - 4})$

Step 1.2.4.2

Add

$8$ and

$2$ .

$2 \div \frac{10}{4} \div (- \frac{2}{10 - 4})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$2 \div \frac{10}{4} (- \frac{10 - 4}{2})$

Step 3

To divide by a fraction, multiply by its reciprocal.

$2 (\frac{4}{10}) (- \frac{10 - 4}{2})$

Step 4

Cancel the common factor of

$2$ .

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Step 4.1

Move the leading negative in

$- \frac{10 - 4}{2}$ into the numerator.

$2 (\frac{4}{10}) \frac{- (10 - 4)}{2}$

Step 4.2

Cancel the common factor.

$2 (\frac{4}{10}) \frac{- (10 - 4)}{2}$

Step 4.3

Rewrite the expression.

$\frac{4}{10} (- (10 - 4))$

Step 5

Cancel the common factor of

$4$ and

$10$ .

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Step 5.1

Factor

$2$ out of

$4$ .

$\frac{2 (2)}{10} (- (10 - 4))$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$10$ .

$\frac{2 \cdot 2}{2 \cdot 5} (- (10 - 4))$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 5} (- (10 - 4))$

Step 5.2.3

Rewrite the expression.

$\frac{2}{5} (- (10 - 4))$

Step 6

Simplify the expression.

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Step 6.1

Subtract

$4$ from

$10$ .

$\frac{2}{5} (- 1 \cdot 6)$

Step 6.2

Multiply

$- 1$ by

$6$ .

$\frac{2}{5} \cdot - 6$

Step 7

Multiply

$\frac{2}{5} \cdot - 6$ .

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Step 7.1

Combine

$\frac{2}{5}$ and

$- 6$ .

$\frac{2 \cdot - 6}{5}$

Step 7.2

Multiply

$2$ by

$- 6$ .

$\frac{- 12}{5}$

Step 8

Move the negative in front of the fraction.

$- \frac{12}{5}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{12}{5}$

Decimal Form:

$- 2.4$

Mixed Number Form:

$- 2 \frac{2}{5}$