Basic Math Examples

$1 - \frac{8}{3} \div 1 + \frac{7}{4}$

Step 1

Find the common denominator.

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Step 1.1

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

$\frac{1}{1} - \frac{8}{3} \div 1 + \frac{7}{4}$

Step 1.2

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

$\frac{1}{1} \cdot \frac{4}{4} - \frac{8}{3} \div 1 + \frac{7}{4}$

Step 1.3

Multiply $\frac{1}{1}$ by $\frac{4}{4}$ .

$\frac{4}{4} - \frac{8}{3} \div 1 + \frac{7}{4}$

Step 1.4

Multiply $\frac{8}{3} \div 1$ by $\frac{4}{4}$ .

$\frac{4}{4} - (\frac{8}{3} \div 1 \cdot \frac{4}{4}) + \frac{7}{4}$

Step 1.5

Multiply $\frac{8}{3} \div 1$ by $\frac{4}{4}$ .

$\frac{4}{4} - \frac{\frac{8}{3} \cdot 4}{4} + \frac{7}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 - \frac{8}{3} \cdot 4 + 7}{4}$

Step 3

Simplify each term.

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Step 3.1

Multiply $- \frac{8}{3} \cdot 4$ .

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Step 3.1.1

Multiply $4$ by $- 1$ .

$\frac{4 - 4 (\frac{8}{3}) + 7}{4}$

Step 3.1.2

Combine $- 4$ and $\frac{8}{3}$ .

$\frac{4 + \frac{- 4 \cdot 8}{3} + 7}{4}$

Step 3.1.3

Multiply $- 4$ by $8$ .

$\frac{4 + \frac{- 32}{3} + 7}{4}$

Step 3.2

Move the negative in front of the fraction.

$\frac{4 - \frac{32}{3} + 7}{4}$

Step 4

Find the common denominator.

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Step 4.1

Write $4$ as a fraction with denominator $1$ .

$\frac{\frac{4}{1} - \frac{32}{3} + 7}{4}$

Step 4.2

Multiply $\frac{4}{1}$ by $\frac{3}{3}$ .

$\frac{\frac{4}{1} \cdot \frac{3}{3} - \frac{32}{3} + 7}{4}$

Step 4.3

Multiply $\frac{4}{1}$ by $\frac{3}{3}$ .

$\frac{\frac{4 \cdot 3}{3} - \frac{32}{3} + 7}{4}$

Step 4.4

Write $7$ as a fraction with denominator $1$ .

$\frac{\frac{4 \cdot 3}{3} - \frac{32}{3} + \frac{7}{1}}{4}$

Step 4.5

Multiply $\frac{7}{1}$ by $\frac{3}{3}$ .

$\frac{\frac{4 \cdot 3}{3} - \frac{32}{3} + \frac{7}{1} \cdot \frac{3}{3}}{4}$

Step 4.6

Multiply $\frac{7}{1}$ by $\frac{3}{3}$ .

$\frac{\frac{4 \cdot 3}{3} - \frac{32}{3} + \frac{7 \cdot 3}{3}}{4}$

Step 5

Combine the numerators over the common denominator.

$\frac{\frac{4 \cdot 3 - 32 + 7 \cdot 3}{3}}{4}$

Step 6

Simplify each term.

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Step 6.1

Multiply $4$ by $3$ .

$\frac{\frac{12 - 32 + 7 \cdot 3}{3}}{4}$

Step 6.2

Multiply $7$ by $3$ .

$\frac{\frac{12 - 32 + 21}{3}}{4}$

Step 7

Simplify by adding and subtracting.

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Step 7.1

Subtract $32$ from $12$ .

$\frac{\frac{- 20 + 21}{3}}{4}$

Step 7.2

Add $- 20$ and $21$ .

$\frac{\frac{1}{3}}{4}$

Step 8

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{3} \cdot \frac{1}{4}$

Step 9

Multiply $\frac{1}{3} \cdot \frac{1}{4}$ .

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Step 9.1

Multiply $\frac{1}{3}$ by $\frac{1}{4}$ .

$\frac{1}{3 \cdot 4}$

Step 9.2

Multiply $3$ by $4$ .

$\frac{1}{12}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{12}$

Decimal Form:

$0.08\overline{3}$