Pre-Algebra Examples

$- \frac{4}{7} \cdot (- \frac{7}{4} d)$

Step 1

Combine $d$ and $\frac{7}{4}$ .

$- \frac{4}{7} \cdot (- \frac{d \cdot 7}{4})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} \cdot (- \frac{d \cdot 7}{4})$

Step 2.2

Move the leading negative in $- \frac{d \cdot 7}{4}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{- d \cdot 7}{4}$

Step 2.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{7} \cdot \frac{- d \cdot 7}{4}$

Step 2.4

Cancel the common factor.

$\frac{4 \cdot - 1}{7} \cdot \frac{- d \cdot 7}{4}$

Step 2.5

Rewrite the expression.

$\frac{- 1}{7} \cdot (- d \cdot 7)$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $- d \cdot 7$ .

$\frac{- 1}{7} \cdot (7 \cdot (- d))$

Step 3.2

Cancel the common factor.

$\frac{- 1}{7} \cdot (7 \cdot (- d))$

Step 3.3

Rewrite the expression.

$- 1 \cdot (- d)$

Step 4

Multiply.

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 \cdot d$

Step 4.2

Multiply $d$ by $1$ .

$d$