Basic Math Examples

$\frac{3}{2} - \frac{5}{6}$

Step 1

To write

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

$\frac{3}{3}$ .

$\frac{3}{2} \cdot \frac{3}{3} - \frac{5}{6}$

Step 2

Write each expression with a common denominator of

$6$ , by multiplying each by an appropriate factor of

$1$ .

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Step 2.1

Multiply

$\frac{3}{2}$ by

$\frac{3}{3}$ .

$\frac{3 \cdot 3}{2 \cdot 3} - \frac{5}{6}$

Step 2.2

Multiply

$2$ by

$3$ .

$\frac{3 \cdot 3}{6} - \frac{5}{6}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 5}{6}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

$3$ by

$3$ .

$\frac{9 - 5}{6}$

Step 4.2

Subtract

$5$ from

$9$ .

$\frac{4}{6}$

Step 5

Cancel the common factor of

$4$ and

$6$ .

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Step 5.1

Factor

$2$ out of

$4$ .

$\frac{2 (2)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$6$ .

$\frac{2 \cdot 2}{2 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$