Basic Math Examples

$(\frac{3}{8} - 0.875) \cdot 10.2$

Step 1

To write $- 0.875$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$(\frac{3}{8} - 0.875 \cdot \frac{8}{8}) \cdot 10.2$

Step 2

Combine $- 0.875$ and $\frac{8}{8}$ .

$(\frac{3}{8} + \frac{- 0.875 \cdot 8}{8}) \cdot 10.2$

Step 3

Combine the numerators over the common denominator.

$\frac{3 - 0.875 \cdot 8}{8} \cdot 10.2$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 0.875$ by $8$ .

$\frac{3 - 7}{8} \cdot 10.2$

Step 4.2

Subtract $7$ from $3$ .

$\frac{- 4}{8} \cdot 10.2$

Step 5

Cancel the common factor of $- 4$ and $8$ .

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Step 5.1

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{8} \cdot 10.2$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot - 1}{4 \cdot 2} \cdot 10.2$

Step 5.2.2

Cancel the common factor.

$\frac{4 \cdot - 1}{4 \cdot 2} \cdot 10.2$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{2} \cdot 10.2$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2} \cdot 10.2$

Step 7

Multiply $- \frac{1}{2} \cdot 10.2$ .

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Step 7.1

Multiply $10.2$ by $- 1$ .

$- 10.2 (\frac{1}{2})$

Step 7.2

Combine $- 10.2$ and $\frac{1}{2}$ .

$\frac{- 10.2}{2}$

Step 8

Divide $- 10.2$ by $2$ .

$- 5.1$