Pre-Algebra Examples

\frac{3 π}{2} + \frac{π}{4}

$\frac{3 π}{2} + \frac{π}{4}$

Step 1

To write

\frac{3 π}{2}

$\frac{3 π}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3 π}{2} \cdot \frac{2}{2} + \frac{π}{4}

$\frac{3 π}{2} \cdot \frac{2}{2} + \frac{π}{4}$

Step 2

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{3 π}{2}

$\frac{3 π}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3 π \cdot 2}{2 \cdot 2} + \frac{π}{4}

$\frac{3 π \cdot 2}{2 \cdot 2} + \frac{π}{4}$

Step 2.2

Multiply

2

$2$ by

2

$2$ .

\frac{3 π \cdot 2}{4} + \frac{π}{4}

$\frac{3 π \cdot 2}{4} + \frac{π}{4}$

\frac{3 π \cdot 2}{4} + \frac{π}{4}

$\frac{3 π \cdot 2}{4} + \frac{π}{4}$

Step 3

Combine the numerators over the common denominator.

\frac{3 π \cdot 2 + π}{4}

$\frac{3 π \cdot 2 + π}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

2

$2$ by

3

$3$ .

\frac{6 π + π}{4}

$\frac{6 π + π}{4}$

Step 4.2

Add

6 π

$6 π$ and

π

$π$ .

\frac{7 π}{4}

$\frac{7 π}{4}$

\frac{7 π}{4}

$\frac{7 π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{7 π}{4}

$\frac{7 π}{4}$

Decimal Form:

5.49778714 \dots

$5.49778714 \dots$