Pre-Algebra Examples

$\frac{4}{7} d = - \frac{1}{5}$

Step 1

Multiply both sides of the equation by $\frac{7}{4}$ .

$\frac{7}{4} (\frac{4}{7} d) = \frac{7}{4} (- \frac{1}{5})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{7}{4} (\frac{4}{7} d)$ .

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Step 2.1.1.1

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

$\frac{7}{4} \cdot \frac{4 d}{7} = \frac{7}{4} (- \frac{1}{5})$

Step 2.1.1.2

Cancel the common factor of $7$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{7}{4} \cdot \frac{4 d}{7} = \frac{7}{4} (- \frac{1}{5})$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 d) = \frac{7}{4} (- \frac{1}{5})$

Step 2.1.1.3

Cancel the common factor of $4$ .

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Step 2.1.1.3.1

Factor $4$ out of $4 d$ .

$\frac{1}{4} (4 (d)) = \frac{7}{4} (- \frac{1}{5})$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 d) = \frac{7}{4} (- \frac{1}{5})$

Step 2.1.1.3.3

Rewrite the expression.

$d = \frac{7}{4} (- \frac{1}{5})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $\frac{7}{4} (- \frac{1}{5})$ .

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Step 2.2.1.1

Multiply $\frac{7}{4}$ by $\frac{1}{5}$ .

$d = - \frac{7}{4 \cdot 5}$

Step 2.2.1.2

Multiply $4$ by $5$ .

$d = - \frac{7}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = - \frac{7}{20}$

Decimal Form:

$d = - 0.35$