Algebra Examples

$7 \frac{3}{4}$

Step 1

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

$7 + \frac{3}{4}$

Step 2

Add

$7$ and

$\frac{3}{4}$ .

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Step 2.1

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$7 \cdot \frac{4}{4} + \frac{3}{4}$

Step 2.2

Combine

$7$ and

$\frac{4}{4}$ .

$\frac{7 \cdot 4}{4} + \frac{3}{4}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 4 + 3}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

$7$ by

$4$ .

$\frac{28 + 3}{4}$

Step 2.4.2

Add

$28$ and

$3$ .

$\frac{31}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{31}{4}$

Decimal Form:

$7.75$

Mixed Number Form:

$7 \frac{3}{4}$

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