Algebra Examples

$5 \frac{3}{4}$

Step 1

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

$5 + \frac{3}{4}$

Step 2

Add $5$ and $\frac{3}{4}$ .

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Step 2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$5 \cdot \frac{4}{4} + \frac{3}{4}$

Step 2.2

Combine $5$ and $\frac{4}{4}$ .

$\frac{5 \cdot 4}{4} + \frac{3}{4}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 4 + 3}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $5$ by $4$ .

$\frac{20 + 3}{4}$

Step 2.4.2

Add $20$ and $3$ .

$\frac{23}{4}$