Basic Math Examples

$\frac{1}{5} - 8 \cdot 7.8$

Step 1

Multiply $- 8$ by $7.8$ .

$\frac{1}{5} - 62.4$

Step 2

To write $- 62.4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{5} - 62.4 \cdot \frac{5}{5}$

Step 3

Combine $- 62.4$ and $\frac{5}{5}$ .

$\frac{1}{5} + \frac{- 62.4 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 - 62.4 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 62.4$ by $5$ .

$\frac{1 - 312}{5}$

Step 5.2

Subtract $312$ from $1$ .

$\frac{- 311}{5}$

Step 6

Cancel the common factor of $- 311$ and $5$ .

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Step 6.1

Rewrite $- 311$ as $1 (- 311)$ .

$\frac{1 (- 311)}{5}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Rewrite $5$ as $1 (5)$ .

$\frac{1 \cdot - 311}{1 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{1 \cdot - 311}{1 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{- 311}{5}$

Step 7

Move the negative in front of the fraction.

$- \frac{311}{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{311}{5}$

Decimal Form:

$- 62.2$

Mixed Number Form:

$- 62 \frac{1}{5}$