Basic Math Examples

$\frac{1}{4} d + \frac{3}{8} = \frac{3}{4}$

Step 1

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

$\frac{d}{4} + \frac{3}{8} = \frac{3}{4}$

Step 2

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

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Step 2.1

Subtract $\frac{3}{8}$ from both sides of the equation.

$\frac{d}{4} = \frac{3}{4} - \frac{3}{8}$

Step 2.2

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{d}{4} = \frac{3}{4} \cdot \frac{2}{2} - \frac{3}{8}$

Step 2.3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$\frac{d}{4} = \frac{3 \cdot 2}{4 \cdot 2} - \frac{3}{8}$

Step 2.3.2

Multiply $4$ by $2$ .

$\frac{d}{4} = \frac{3 \cdot 2}{8} - \frac{3}{8}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{d}{4} = \frac{3 \cdot 2 - 3}{8}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $3$ by $2$ .

$\frac{d}{4} = \frac{6 - 3}{8}$

Step 2.5.2

Subtract $3$ from $6$ .

$\frac{d}{4} = \frac{3}{8}$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{d}{4} = 4 (\frac{3}{8})$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{d}{4} = 4 (\frac{3}{8})$

Step 4.1.1.2

Rewrite the expression.

$d = 4 (\frac{3}{8})$

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Factor $4$ out of $8$ .

$d = 4 \frac{3}{4 (2)}$

Step 4.2.1.2

Cancel the common factor.

$d = 4 \frac{3}{4 \cdot 2}$

Step 4.2.1.3

Rewrite the expression.

$d = \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$d = \frac{3}{2}$

Decimal Form:

$d = 1.5$

Mixed Number Form:

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