Pre-Algebra Examples

\frac{1}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + 1

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Simplify by adding numbers.

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Step 2.1

Add

$1$ and

$3$ .

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

Step 2.2

Add

$4$ and

$3$ .

$1 + \frac{7 + 3}{4}$

Step 2.3

Add

$7$ and

$3$ .

$1 + \frac{10}{4}$

Step 3

Cancel the common factor of

$10$ and

$4$ .

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Step 3.1

Factor

$2$ out of

$10$ .

$1 + \frac{2 (5)}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

$2$ out of

$4$ .

$1 + \frac{2 \cdot 5}{2 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$1 + \frac{2 \cdot 5}{2 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$1 + \frac{5}{2}$

Step 4

Simplify the expression.

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Step 4.1

Write

$1$ as a fraction with a common denominator.

$\frac{2}{2} + \frac{5}{2}$

Step 4.2

Combine the numerators over the common denominator.

$\frac{2 + 5}{2}$

Step 4.3

Add

$2$ and

$5$ .

$\frac{7}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$