Basic Math Examples

32.55

$32.55$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

32 \frac{55}{100}

$32 \frac{55}{100}$

Step 2

Reduce the fractional part of the mixed number.

32 \frac{11}{20}

$32 \frac{11}{20}$

Step 3

Convert

32 \frac{11}{20}

$32 \frac{11}{20}$ to an improper fraction.

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Step 3.1

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

32 + \frac{11}{20}

$32 + \frac{11}{20}$

Step 3.2

Add

32

$32$ and

\frac{11}{20}

$\frac{11}{20}$ .

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Step 3.2.1

To write

32

$32$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

32 \cdot \frac{20}{20} + \frac{11}{20}

$32 \cdot \frac{20}{20} + \frac{11}{20}$

Step 3.2.2

Combine

32

$32$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{32 \cdot 20}{20} + \frac{11}{20}

$\frac{32 \cdot 20}{20} + \frac{11}{20}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{32 \cdot 20 + 11}{20}

$\frac{32 \cdot 20 + 11}{20}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

32

$32$ by

20

$20$ .

\frac{640 + 11}{20}

$\frac{640 + 11}{20}$

Step 3.2.4.2

Add

640

$640$ and

11

$11$ .

\frac{651}{20}

$\frac{651}{20}$

\frac{651}{20}

$\frac{651}{20}$

\frac{651}{20}

$\frac{651}{20}$

\frac{651}{20}

$\frac{651}{20}$