Basic Math Examples

$- \frac{7}{8} \cdot (r - y + 32)$

Step 1

Apply the distributive property.

$- \frac{7}{8} r - \frac{7}{8} (- y) - \frac{7}{8} \cdot 32$

Step 2

Simplify.

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Step 2.1

Combine $r$ and $\frac{7}{8}$ .

$- \frac{r \cdot 7}{8} - \frac{7}{8} (- y) - \frac{7}{8} \cdot 32$

Step 2.2

Multiply $- \frac{7}{8} (- y)$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$- \frac{r \cdot 7}{8} + 1 (\frac{7}{8}) y - \frac{7}{8} \cdot 32$

Step 2.2.2

Multiply $\frac{7}{8}$ by $1$ .

$- \frac{r \cdot 7}{8} + \frac{7}{8} y - \frac{7}{8} \cdot 32$

Step 2.2.3

Combine $\frac{7}{8}$ and $y$ .

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} - \frac{7}{8} \cdot 32$

Step 2.3

Cancel the common factor of $8$ .

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Step 2.3.1

Move the leading negative in $- \frac{7}{8}$ into the numerator.

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} + \frac{- 7}{8} \cdot 32$

Step 2.3.2

Factor $8$ out of $32$ .

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} + \frac{- 7}{8} \cdot (8 (4))$

Step 2.3.3

Cancel the common factor.

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} + \frac{- 7}{8} \cdot (8 \cdot 4)$

Step 2.3.4

Rewrite the expression.

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} - 7 \cdot 4$

Step 2.4

Multiply $- 7$ by $4$ .

$- \frac{r \cdot 7}{8} + \frac{7 y}{8} - 28$

Step 3

Move $7$ to the left of $r$ .

$- \frac{7 r}{8} + \frac{7 y}{8} - 28$