Basic Math Examples

3.48

$3.48$

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{48}{100}

$3 \frac{48}{100}$

Step 2

Reduce the fractional part of the mixed number.

3 \frac{12}{25}

$3 \frac{12}{25}$

Step 3

Convert

3 \frac{12}{25}

$3 \frac{12}{25}$ 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{12}{25}

$3 + \frac{12}{25}$

Step 3.2

Add

3

$3$ and

\frac{12}{25}

$\frac{12}{25}$ .

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Step 3.2.1

To write

3

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

\frac{25}{25}

$\frac{25}{25}$ .

3 \cdot \frac{25}{25} + \frac{12}{25}

$3 \cdot \frac{25}{25} + \frac{12}{25}$

Step 3.2.2

Combine

3

$3$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{3 \cdot 25}{25} + \frac{12}{25}

$\frac{3 \cdot 25}{25} + \frac{12}{25}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 25 + 12}{25}

$\frac{3 \cdot 25 + 12}{25}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

3

$3$ by

25

$25$ .

\frac{75 + 12}{25}

$\frac{75 + 12}{25}$

Step 3.2.4.2

Add

75

$75$ and

12

$12$ .

\frac{87}{25}

$\frac{87}{25}$

\frac{87}{25}

$\frac{87}{25}$

\frac{87}{25}

$\frac{87}{25}$

\frac{87}{25}

$\frac{87}{25}$