Basic Math Examples

$8 a \div 5 a + 3 \cdot 9 - 2$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{8 a}{5 a} + 3 \cdot 9 - 2$

Step 1.2

Cancel the common factor of $a$ .

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Step 1.2.1

Cancel the common factor.

$\frac{8 a}{5 a} + 3 \cdot 9 - 2$

Step 1.2.2

Rewrite the expression.

$\frac{8}{5} + 3 \cdot 9 - 2$

Step 1.3

Multiply $3$ by $9$ .

$\frac{8}{5} + 27 - 2$

Step 2

Find the common denominator.

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Step 2.1

Write $27$ as a fraction with denominator $1$ .

$\frac{8}{5} + \frac{27}{1} - 2$

Step 2.2

Multiply $\frac{27}{1}$ by $\frac{5}{5}$ .

$\frac{8}{5} + \frac{27}{1} \cdot \frac{5}{5} - 2$

Step 2.3

Multiply $\frac{27}{1}$ by $\frac{5}{5}$ .

$\frac{8}{5} + \frac{27 \cdot 5}{5} - 2$

Step 2.4

Write $- 2$ as a fraction with denominator $1$ .

$\frac{8}{5} + \frac{27 \cdot 5}{5} + \frac{- 2}{1}$

Step 2.5

Multiply $\frac{- 2}{1}$ by $\frac{5}{5}$ .

$\frac{8}{5} + \frac{27 \cdot 5}{5} + \frac{- 2}{1} \cdot \frac{5}{5}$

Step 2.6

Multiply $\frac{- 2}{1}$ by $\frac{5}{5}$ .

$\frac{8}{5} + \frac{27 \cdot 5}{5} + \frac{- 2 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{8 + 27 \cdot 5 - 2 \cdot 5}{5}$

Step 4

Simplify each term.

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Step 4.1

Multiply $27$ by $5$ .

$\frac{8 + 135 - 2 \cdot 5}{5}$

Step 4.2

Multiply $- 2$ by $5$ .

$\frac{8 + 135 - 10}{5}$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Add $8$ and $135$ .

$\frac{143 - 10}{5}$

Step 5.2

Subtract $10$ from $143$ .

$\frac{133}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{133}{5}$

Decimal Form:

$26.6$

Mixed Number Form:

$26 \frac{3}{5}$