Solve for d 1/4d=2 1/8

$\frac{1}{4} d = 2 \frac{1}{8}$

Simplify the left side.

Combine $\frac{1}{4}$ and $d$ .

$\frac{d}{4} = 2 \frac{1}{8}$

Simplify the right side.

Convert $2 \frac{1}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{d}{4} = 2 + \frac{1}{8}$

Add $2$ and $\frac{1}{8}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{d}{4} = 2 \cdot \frac{8}{8} + \frac{1}{8}$

Combine $2$ and $\frac{8}{8}$ .

$\frac{d}{4} = \frac{2 \cdot 8}{8} + \frac{1}{8}$

Combine the numerators over the common denominator.

$\frac{d}{4} = \frac{2 \cdot 8 + 1}{8}$

Simplify the numerator.

Multiply $2$ by $8$ .

$\frac{d}{4} = \frac{16 + 1}{8}$

Add $16$ and $1$ .

$\frac{d}{4} = \frac{17}{8}$

Multiply both sides of the equation by $4$ .

$4 \frac{d}{4} = 4 (\frac{17}{8})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{d}{4} = 4 (\frac{17}{8})$

Rewrite the expression.

$d = 4 (\frac{17}{8})$

Simplify the right side.

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$d = 4 \frac{17}{4 (2)}$

Cancel the common factor.

$d = 4 \frac{17}{4 \cdot 2}$

Rewrite the expression.

$d = \frac{17}{2}$

The result can be shown in multiple forms.

Exact Form:

$d = \frac{17}{2}$

Decimal Form:

$d = 8.5$

Mixed Number Form:

$d = 8 \frac{1}{2}$