Pre-Algebra Examples

$120.58$

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.

$120 \frac{58}{100}$

Step 2

Reduce the fractional part of the mixed number.

$120 \frac{29}{50}$

Step 3

Convert $120 \frac{29}{50}$ to an improper fraction.

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Step 3.1

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

$120 + \frac{29}{50}$

Step 3.2

Add $120$ and $\frac{29}{50}$ .

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Step 3.2.1

To write $120$ as a fraction with a common denominator, multiply by $\frac{50}{50}$ .

$120 \cdot \frac{50}{50} + \frac{29}{50}$

Step 3.2.2

Combine $120$ and $\frac{50}{50}$ .

$\frac{120 \cdot 50}{50} + \frac{29}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{120 \cdot 50 + 29}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $120$ by $50$ .

$\frac{6000 + 29}{50}$

Step 3.2.4.2

Add $6000$ and $29$ .

$\frac{6029}{50}$