Basic Math Examples

$f - \frac{1}{2} = 1 \frac{1}{4}$

Step 1

Simplify the right side.

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Step 1.1

Convert $1 \frac{1}{4}$ to an improper fraction.

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Step 1.1.1

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

$f - \frac{1}{2} = 1 + \frac{1}{4}$

Step 1.1.2

Add $1$ and $\frac{1}{4}$ .

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Step 1.1.2.1

Write $1$ as a fraction with a common denominator.

$f - \frac{1}{2} = \frac{4}{4} + \frac{1}{4}$

Step 1.1.2.2

Combine the numerators over the common denominator.

$f - \frac{1}{2} = \frac{4 + 1}{4}$

Step 1.1.2.3

Add $4$ and $1$ .

$f - \frac{1}{2} = \frac{5}{4}$

Step 2

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

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Step 2.1

Add $\frac{1}{2}$ to both sides of the equation.

$f = \frac{5}{4} + \frac{1}{2}$

Step 2.2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$f = \frac{5}{4} + \frac{1}{2} \cdot \frac{2}{2}$

Step 2.3

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

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Step 2.3.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$f = \frac{5}{4} + \frac{2}{2 \cdot 2}$

Step 2.3.2

Multiply $2$ by $2$ .

$f = \frac{5}{4} + \frac{2}{4}$

Step 2.4

Combine the numerators over the common denominator.

$f = \frac{5 + 2}{4}$

Step 2.5

Add $5$ and $2$ .

$f = \frac{7}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$f = \frac{7}{4}$

Decimal Form:

$f = 1.75$

Mixed Number Form:

$f = 1 \frac{3}{4}$