Pre-Algebra Examples

$0.074$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $3$ numbers to the right of the decimal point, place the decimal number over $10^{3}$ $(1000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{74}{1000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert $0 \frac{74}{1000}$ to an improper fraction.

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Step 2.1.1

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

$0 + \frac{74}{1000}$

Step 2.1.2

Add $0$ and $\frac{74}{1000}$ .

$\frac{74}{1000}$

Step 2.2

Cancel the common factor of $74$ and $1000$ .

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Step 2.2.1

Factor $2$ out of $74$ .

$\frac{2 (37)}{1000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $1000$ .

$\frac{2 \cdot 37}{2 \cdot 500}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 37}{2 \cdot 500}$

Step 2.2.2.3

Rewrite the expression.

$\frac{37}{500}$