Basic Math Examples

33 \frac{1}{3} \cdot 80

$33 \frac{1}{3} \cdot 80$

Step 1

Convert

33 \frac{1}{3}

$33 \frac{1}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

(33 + \frac{1}{3}) \cdot 80

$(33 + \frac{1}{3}) \cdot 80$

Step 1.2

Add

33

$33$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

33

$33$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(33 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 80

$(33 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 80$

Step 1.2.2

Combine

33

$33$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{33 \cdot 3}{3} + \frac{1}{3}) \cdot 80

$(\frac{33 \cdot 3}{3} + \frac{1}{3}) \cdot 80$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{33 \cdot 3 + 1}{3} \cdot 80

$\frac{33 \cdot 3 + 1}{3} \cdot 80$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

33

$33$ by

3

$3$ .

\frac{99 + 1}{3} \cdot 80

$\frac{99 + 1}{3} \cdot 80$

Step 1.2.4.2

Add

99

$99$ and

1

$1$ .

\frac{100}{3} \cdot 80

$\frac{100}{3} \cdot 80$

\frac{100}{3} \cdot 80

$\frac{100}{3} \cdot 80$

\frac{100}{3} \cdot 80

$\frac{100}{3} \cdot 80$

\frac{100}{3} \cdot 80

$\frac{100}{3} \cdot 80$

Step 2

Multiply

\frac{100}{3} \cdot 80

$\frac{100}{3} \cdot 80$ .

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Step 2.1

Combine

\frac{100}{3}

$\frac{100}{3}$ and

80

$80$ .

\frac{100 \cdot 80}{3}

$\frac{100 \cdot 80}{3}$

Step 2.2

Multiply

100

$100$ by

80

$80$ .

\frac{8000}{3}

$\frac{8000}{3}$

\frac{8000}{3}

$\frac{8000}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{8000}{3}

$\frac{8000}{3}$

Decimal Form:

2666.\overline{6}

$2666.\overline{6}$

Mixed Number Form:

2666 \frac{2}{3}

$2666 \frac{2}{3}$