Basic Math Examples

$(\frac{5}{3} - 1) \cdot (\frac{7}{2} - 2)$

Step 1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{5}{3} - 1 \cdot \frac{3}{3}) \cdot (\frac{7}{2} - 2)$

Step 2

Combine $- 1$ and $\frac{3}{3}$ .

$(\frac{5}{3} + \frac{- 1 \cdot 3}{3}) \cdot (\frac{7}{2} - 2)$

Step 3

Combine the numerators over the common denominator.

$\frac{5 - 1 \cdot 3}{3} \cdot (\frac{7}{2} - 2)$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 1$ by $3$ .

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

Step 4.2

Subtract $3$ from $5$ .

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

Step 5

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 6

Combine $- 2$ and $\frac{2}{2}$ .

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

Step 7

Combine the numerators over the common denominator.

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

Step 8

Simplify the numerator.

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Step 8.1

Multiply $- 2$ by $2$ .

$\frac{2}{3} \cdot \frac{7 - 4}{2}$

Step 8.2

Subtract $4$ from $7$ .

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

Step 9

Cancel the common factor of $2$ .

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Step 9.1

Cancel the common factor.

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

Step 9.2

Rewrite the expression.

$\frac{1}{3} \cdot 3$

Step 10

Cancel the common factor of $3$ .

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Step 10.1

Cancel the common factor.

$\frac{1}{3} \cdot 3$

Step 10.2

Rewrite the expression.

$1$