Basic Math Examples

3.15

$3.15$

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.

3 \frac{15}{100}

$3 \frac{15}{100}$

Step 2

Reduce the fractional part of the mixed number.

3 \frac{3}{20}

$3 \frac{3}{20}$

Step 3

Convert

3 \frac{3}{20}

$3 \frac{3}{20}$ to an improper fraction.

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Step 3.1

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

3 + \frac{3}{20}

$3 + \frac{3}{20}$

Step 3.2

Add

3

$3$ and

\frac{3}{20}

$\frac{3}{20}$ .

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Step 3.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

3 \cdot \frac{20}{20} + \frac{3}{20}

$3 \cdot \frac{20}{20} + \frac{3}{20}$

Step 3.2.2

Combine

3

$3$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{3 \cdot 20}{20} + \frac{3}{20}

$\frac{3 \cdot 20}{20} + \frac{3}{20}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 20 + 3}{20}

$\frac{3 \cdot 20 + 3}{20}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

3

$3$ by

20

$20$ .

\frac{60 + 3}{20}

$\frac{60 + 3}{20}$

Step 3.2.4.2

Add

60

$60$ and

3

$3$ .

\frac{63}{20}

$\frac{63}{20}$

\frac{63}{20}

$\frac{63}{20}$

\frac{63}{20}

$\frac{63}{20}$

\frac{63}{20}

$\frac{63}{20}$