Basic Math Examples

$0.66 (\frac{2}{3})$

Step 1

Multiply $0.66 (\frac{2}{3})$ .

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Step 1.1

Combine $0.66$ and $\frac{2}{3}$ .

$\frac{0.66 \cdot 2}{3}$

Step 1.2

Multiply $0.66$ by $2$ .

$\frac{1.32}{3}$

Step 2

Divide $1.32$ by $3$ .

$0.44$

Step 3

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.

$0 \frac{44}{100}$

Step 4

Reduce the fraction.

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Step 4.1

Convert $0 \frac{44}{100}$ to an improper fraction.

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Step 4.1.1

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

$0 + \frac{44}{100}$

Step 4.1.2

Add $0$ and $\frac{44}{100}$ .

$\frac{44}{100}$

Step 4.2

Cancel the common factor of $44$ and $100$ .

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Step 4.2.1

Factor $4$ out of $44$ .

$\frac{4 (11)}{100}$

Step 4.2.2

Cancel the common factors.

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Step 4.2.2.1

Factor $4$ out of $100$ .

$\frac{4 \cdot 11}{4 \cdot 25}$

Step 4.2.2.2

Cancel the common factor.

$\frac{4 \cdot 11}{4 \cdot 25}$

Step 4.2.2.3

Rewrite the expression.

$\frac{11}{25}$