Algebra Examples

$1.45$

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.

$1 \frac{45}{100}$

Step 2

Reduce the fractional part of the mixed number.

$1 \frac{9}{20}$

Step 3

Convert $1 \frac{9}{20}$ to an improper fraction.

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Step 3.1

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

$1 + \frac{9}{20}$

Step 3.2

Add $1$ and $\frac{9}{20}$ .

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Step 3.2.1

Write $1$ as a fraction with a common denominator.

$\frac{20}{20} + \frac{9}{20}$

Step 3.2.2

Combine the numerators over the common denominator.

$\frac{20 + 9}{20}$

Step 3.2.3

Add $20$ and $9$ .

$\frac{29}{20}$