Basic Math Examples

7.32

$7.32$

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.

7 \frac{32}{100}

$7 \frac{32}{100}$

Step 2

Reduce the fractional part of the mixed number.

7 \frac{8}{25}

$7 \frac{8}{25}$

Step 3

Convert

7 \frac{8}{25}

$7 \frac{8}{25}$ to an improper fraction.

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Step 3.1

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

7 + \frac{8}{25}

$7 + \frac{8}{25}$

Step 3.2

Add

7

$7$ and

\frac{8}{25}

$\frac{8}{25}$ .

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Step 3.2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{25}{25}

$\frac{25}{25}$ .

7 \cdot \frac{25}{25} + \frac{8}{25}

$7 \cdot \frac{25}{25} + \frac{8}{25}$

Step 3.2.2

Combine

7

$7$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{7 \cdot 25}{25} + \frac{8}{25}

$\frac{7 \cdot 25}{25} + \frac{8}{25}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 25 + 8}{25}

$\frac{7 \cdot 25 + 8}{25}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

7

$7$ by

25

$25$ .

\frac{175 + 8}{25}

$\frac{175 + 8}{25}$

Step 3.2.4.2

Add

175

$175$ and

8

$8$ .

\frac{183}{25}

$\frac{183}{25}$

\frac{183}{25}

$\frac{183}{25}$

\frac{183}{25}

$\frac{183}{25}$

\frac{183}{25}

$\frac{183}{25}$