Finite Math Examples

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

Step 1

Subtract $\frac{- 1}{4}$ from both sides of the equation.

$\frac{4}{d} - \frac{- 1}{4} = 0$

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

$\frac{4}{d} - - \frac{1}{4} = 0$

Step 2.2

Multiply $- - \frac{1}{4}$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$\frac{4}{d} + 1 (\frac{1}{4}) = 0$

Step 2.2.2

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

$\frac{4}{d} + \frac{1}{4} = 0$

Step 3

To write $\frac{4}{d}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{4}{d} \cdot \frac{4}{4} + \frac{1}{4} = 0$

Step 4

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{d}{d}$ .

$\frac{4}{d} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{d}{d} = 0$

Step 5

Write each expression with a common denominator of $d \cdot 4$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

Multiply $\frac{4}{d}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{d \cdot 4} + \frac{1}{4} \cdot \frac{d}{d} = 0$

Step 5.2

Multiply $\frac{1}{4}$ by $\frac{d}{d}$ .

$\frac{4 \cdot 4}{d \cdot 4} + \frac{d}{4 d} = 0$

Step 5.3

Reorder the factors of $d \cdot 4$ .

$\frac{4 \cdot 4}{4 d} + \frac{d}{4 d} = 0$

Step 6

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + d}{4 d} = 0$

Step 7

Multiply $4$ by $4$ .

$\frac{16 + d}{4 d} = 0$

Step 8

Set the numerator equal to zero.

$16 + d = 0$

Step 9

Subtract $16$ from both sides of the equation.

$d = - 16$