Basic Math Examples

$5 - 10 | 0.8 - \frac{3}{5} |$

Step 1

Simplify each term.

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Step 1.1

To write $0.8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$5 - 10 | 0.8 \cdot \frac{5}{5} - \frac{3}{5} |$

Step 1.2

Combine $0.8$ and $\frac{5}{5}$ .

$5 - 10 | \frac{0.8 \cdot 5}{5} - \frac{3}{5} |$

Step 1.3

Combine the numerators over the common denominator.

$5 - 10 | \frac{0.8 \cdot 5 - 3}{5} |$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $0.8$ by $5$ .

$5 - 10 | \frac{4 - 3}{5} |$

Step 1.4.2

Subtract $3$ from $4$ .

$5 - 10 | \frac{1}{5} |$

Step 1.5

Cancel the common factor of $1$ and $5$ .

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Step 1.5.1

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

$5 - 10 | \frac{1 (1)}{5} |$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

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

$5 - 10 | \frac{1 \cdot 1}{1 \cdot 5} |$

Step 1.5.2.2

Cancel the common factor.

$5 - 10 | \frac{1 \cdot 1}{1 \cdot 5} |$

Step 1.5.2.3

Rewrite the expression.

$5 - 10 | \frac{1}{5} |$

Step 1.6

$\frac{1}{5}$ is approximately $0.2$ which is positive so remove the absolute value

$5 - 10 (\frac{1}{5})$

Step 1.7

Cancel the common factor of $5$ .

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Step 1.7.1

Factor $5$ out of $- 10$ .

$5 + 5 (- 2) \frac{1}{5}$

Step 1.7.2

Cancel the common factor.

$5 + 5 \cdot - 2 \frac{1}{5}$

Step 1.7.3

Rewrite the expression.

$5 - 2$

Step 2

Subtract $2$ from $5$ .

$3$