Pre-Algebra Examples

$3.54$

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.

$3 \frac{54}{100}$

Step 2

Reduce the fractional part of the mixed number.

$3 \frac{27}{50}$

Step 3

Convert $3 \frac{27}{50}$ to an improper fraction.

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Step 3.1

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

$3 + \frac{27}{50}$

Step 3.2

Add $3$ and $\frac{27}{50}$ .

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Step 3.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{50}{50}$ .

$3 \cdot \frac{50}{50} + \frac{27}{50}$

Step 3.2.2

Combine $3$ and $\frac{50}{50}$ .

$\frac{3 \cdot 50}{50} + \frac{27}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 50 + 27}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $3$ by $50$ .

$\frac{150 + 27}{50}$

Step 3.2.4.2

Add $150$ and $27$ .

$\frac{177}{50}$