Pre-Algebra Examples

$\frac{1}{3} + 1 \frac{1}{12}$

Step 1

Convert $1 \frac{1}{12}$ to an improper fraction.

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Step 1.1

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

$\frac{1}{3} + 1 + \frac{1}{12}$

Step 1.2

Add $1$ and $\frac{1}{12}$ .

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Step 1.2.1

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

$\frac{1}{3} + \frac{12}{12} + \frac{1}{12}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{1}{3} + \frac{12 + 1}{12}$

Step 1.2.3

Add $12$ and $1$ .

$\frac{1}{3} + \frac{13}{12}$

Step 2

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{3} \cdot \frac{4}{4} + \frac{13}{12}$

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{4}{3 \cdot 4} + \frac{13}{12}$

Step 3.2

Multiply $3$ by $4$ .

$\frac{4}{12} + \frac{13}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 + 13}{12}$

Step 5

Add $4$ and $13$ .

$\frac{17}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{12}$

Decimal Form:

$1.41\overline{6}$

Mixed Number Form:

$1 \frac{5}{12}$