Basic Math Examples

$- \frac{13}{16} = c - \frac{1}{4}$

Step 1

Rewrite the equation as $c - \frac{1}{4} = - \frac{13}{16}$ .

$c - \frac{1}{4} = - \frac{13}{16}$

Step 2

Move all terms not containing $c$ to the right side of the equation.

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Step 2.1

Add $\frac{1}{4}$ to both sides of the equation.

$c = - \frac{13}{16} + \frac{1}{4}$

Step 2.2

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

$c = - \frac{13}{16} + \frac{1}{4} \cdot \frac{4}{4}$

Step 2.3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

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

$c = - \frac{13}{16} + \frac{4}{4 \cdot 4}$

Step 2.3.2

Multiply $4$ by $4$ .

$c = - \frac{13}{16} + \frac{4}{16}$

Step 2.4

Combine the numerators over the common denominator.

$c = \frac{- 13 + 4}{16}$

Step 2.5

Add $- 13$ and $4$ .

$c = \frac{- 9}{16}$

Step 2.6

Move the negative in front of the fraction.

$c = - \frac{9}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{9}{16}$

Decimal Form:

$c = - 0.5625$