Algebra Examples

5.25

$5.25$

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.

5 \frac{25}{100}

$5 \frac{25}{100}$

Step 2

Reduce the fractional part of the mixed number.

5 \frac{1}{4}

$5 \frac{1}{4}$

Step 3

Convert

5 \frac{1}{4}

$5 \frac{1}{4}$ to an improper fraction.

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Step 3.1

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

5 + \frac{1}{4}

$5 + \frac{1}{4}$

Step 3.2

Add

5

$5$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 3.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

5 \cdot \frac{4}{4} + \frac{1}{4}

$5 \cdot \frac{4}{4} + \frac{1}{4}$

Step 3.2.2

Combine

5

$5$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5 \cdot 4}{4} + \frac{1}{4}

$\frac{5 \cdot 4}{4} + \frac{1}{4}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 4 + 1}{4}

$\frac{5 \cdot 4 + 1}{4}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

5

$5$ by

4

$4$ .

\frac{20 + 1}{4}

$\frac{20 + 1}{4}$

Step 3.2.4.2

Add

20

$20$ and

1

$1$ .

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$