Solve for d d-1/4=8/9

$d - \frac{1}{4} = \frac{8}{9}$

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

$d = \frac{8}{9} + \frac{1}{4}$

To write $\frac{8}{9}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$d = \frac{8}{9} \cdot \frac{4}{4} + \frac{1}{4}$

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$d = \frac{8}{9} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{9}{9}$

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{8}{9}$ by $\frac{4}{4}$ .

$d = \frac{8 \cdot 4}{9 \cdot 4} + \frac{1}{4} \cdot \frac{9}{9}$

Multiply $9$ by $4$ .

$d = \frac{8 \cdot 4}{36} + \frac{1}{4} \cdot \frac{9}{9}$

Multiply $\frac{1}{4}$ by $\frac{9}{9}$ .

$d = \frac{8 \cdot 4}{36} + \frac{9}{4 \cdot 9}$

Multiply $4$ by $9$ .

$d = \frac{8 \cdot 4}{36} + \frac{9}{36}$

Combine the numerators over the common denominator.

$d = \frac{8 \cdot 4 + 9}{36}$

Simplify the numerator.

Multiply $8$ by $4$ .

$d = \frac{32 + 9}{36}$

Add $32$ and $9$ .

$d = \frac{41}{36}$

The result can be shown in multiple forms.

Exact Form:

$d = \frac{41}{36}$

Decimal Form:

$d = 1.13\overline{8}$

Mixed Number Form:

$d = 1 \frac{5}{36}$