Basic Math Examples

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

Step 1

Convert $3 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$(3 + \frac{1}{4}) \cdot \frac{4}{3} \cdot \frac{3}{13}$

Step 1.2

Add $3$ and $\frac{1}{4}$ .

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Step 1.2.1

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

$(3 \cdot \frac{4}{4} + \frac{1}{4}) \cdot \frac{4}{3} \cdot \frac{3}{13}$

Step 1.2.2

Combine $3$ and $\frac{4}{4}$ .

$(\frac{3 \cdot 4}{4} + \frac{1}{4}) \cdot \frac{4}{3} \cdot \frac{3}{13}$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $4$ .

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

Step 1.2.4.2

Add $12$ and $1$ .

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

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$13 \cdot \frac{1}{3} \cdot \frac{3}{13}$

Step 3

Combine $13$ and $\frac{1}{3}$ .

$\frac{13}{3} \cdot \frac{3}{13}$

Step 4

Cancel the common factor of $13$ .

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Step 4.1

Cancel the common factor.

$\frac{13}{3} \cdot \frac{3}{13}$

Step 4.2

Rewrite the expression.

$\frac{1}{3} \cdot 3$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Cancel the common factor.

$\frac{1}{3} \cdot 3$

Step 5.2

Rewrite the expression.

$1$