Algebra Examples

$4.25$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $2$ numbers to the right of the decimal point, place the decimal number over $10^{2}$ $(100)$ . Next, add the whole number to the left of the decimal.

$4 \frac{25}{100}$

Step 2

Reduce the fractional part of the mixed number.

$4 \frac{1}{4}$

Step 3

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

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Step 3.1

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

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

Step 3.2

Add $4$ and $\frac{1}{4}$ .

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Step 3.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 3.2.2

Combine $4$ and $\frac{4}{4}$ .

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

Step 3.2.3

Combine the numerators over the common denominator.

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

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $4$ by $4$ .

$\frac{16 + 1}{4}$

Step 3.2.4.2

Add $16$ and $1$ .

$\frac{17}{4}$