Basic Math Examples

0.048 \div 0.2 %

$0.048 \div 0.2 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

0.048 \div \frac{0.2}{100}

$0.048 \div \frac{0.2}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are

3

$3$ numbers to the right of the decimal point, move the decimal point

3

$3$ places to the right.

\frac{\frac{48}{0.2}}{100000}

$\frac{\frac{48}{0.2}}{100000}$

Step 3

Reduce the fraction.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

\frac{48}{0.2} \cdot \frac{1}{100000}

$\frac{48}{0.2} \cdot \frac{1}{100000}$

Step 3.2

Cancel the common factor of

16

$16$ .

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Step 3.2.1

Factor

16

$16$ out of

48

$48$ .

\frac{16 (3)}{0.2} \cdot \frac{1}{100000}

$\frac{16 (3)}{0.2} \cdot \frac{1}{100000}$

Step 3.2.2

Factor

16

$16$ out of

100000

$100000$ .

\frac{16 \cdot 3}{0.2} \cdot \frac{1}{16 \cdot 6250}

$\frac{16 \cdot 3}{0.2} \cdot \frac{1}{16 \cdot 6250}$

Step 3.2.3

Cancel the common factor.

$\frac{16 \cdot 3}{0.2} \cdot \frac{1}{16 \cdot 6250}$

Step 3.2.4

Rewrite the expression.

$\frac{3}{0.2} \cdot \frac{1}{6250}$

Step 3.3

Cancel the common factor of

$0.2$ .

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Step 3.3.1

Factor

$0.2$ out of

$1$ .

$\frac{3}{0.2} \cdot \frac{0.2 (5)}{6250}$

Step 3.3.2

Cancel the common factor.

$\frac{3}{0.2} \cdot \frac{0.2 \cdot 5}{6250}$

Step 3.3.3

Rewrite the expression.

$3 (\frac{5}{6250})$

Step 3.4

Combine

$3$ and

$\frac{5}{6250}$ .

$\frac{3 \cdot 5}{6250}$

Step 3.5

Multiply

$3$ by

$5$ .

$\frac{15}{6250}$

Step 3.6

Cancel the common factor of

$15$ and

$6250$ .

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Step 3.6.1

Factor

$5$ out of

$15$ .

$\frac{5 (3)}{6250}$

Step 3.6.2

Cancel the common factors.

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Step 3.6.2.1

Factor

$5$ out of

$6250$ .

$\frac{5 \cdot 3}{5 \cdot 1250}$

Step 3.6.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 1250}$

Step 3.6.2.3

Rewrite the expression.

$\frac{3}{1250}$

Step 4

Convert the fraction to a decimal by dividing the numerator by the denominator.

$24$