Basic Math Examples

$\frac{3}{2} \cdot \frac{5}{3} \div (- 2 + 7)$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{3}{2} \cdot \frac{5}{3}}{- 2 + 7}$

Step 2

Multiply $\frac{3}{2}$ by $\frac{5}{3}$ .

$\frac{\frac{3 \cdot 5}{2 \cdot 3}}{- 2 + 7}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Add $- 2$ and $7$ .

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

Step 3.2

Multiply.

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Step 3.2.1

Multiply $3$ by $5$ .

$\frac{\frac{15}{2 \cdot 3}}{5}$

Step 3.2.2

Multiply $2$ by $3$ .

$\frac{\frac{15}{6}}{5}$

Step 3.3

Cancel the common factor of $15$ and $6$ .

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Step 3.3.1

Factor $3$ out of $15$ .

$\frac{\frac{3 (5)}{6}}{5}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $3$ out of $6$ .

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

Step 3.3.2.2

Cancel the common factor.

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

Step 3.3.2.3

Rewrite the expression.

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

Step 4

Multiply the numerator by the reciprocal of the denominator.

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

Step 5

Cancel the common factor of $5$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$