Pre-Algebra Examples

$1 \frac{1}{4} \cdot 12$

Step 1

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

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Step 1.1

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

$(1 + \frac{1}{4}) \cdot 12$

Step 1.2

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

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Step 1.2.1

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

$(\frac{4}{4} + \frac{1}{4}) \cdot 12$

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $4$ and $1$ .

$\frac{5}{4} \cdot 12$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $12$ .

$\frac{5}{4} \cdot (4 (3))$

Step 2.2

Cancel the common factor.

$\frac{5}{4} \cdot (4 \cdot 3)$

Step 2.3

Rewrite the expression.

$5 \cdot 3$

Step 3

Multiply $5$ by $3$ .

$15$