UpStudy Free Solution:

Converting \(\frac { 1} { 5} \) to a Percentage

To convert a fraction to a percentage, you multiply the fraction by 100.

1. Multiply \(\frac { 1} { 5} \) by 100:

\[\frac { 1} { 5} \times 100 = 20\]

So, \(\frac { 1} { 5} \) is 20%.

Converting \(\frac { 12} { 100} \) to a Decimal

To convert a fraction to a decimal, you divide the numerator by the denominator.

1. Divide 12 by 100:

\[\frac { 12} { 100} = 0.12\]

So, \(\frac { 12} { 100} \) as a decimal is 0.12.

Supplemental Knowledge

Understanding how to convert between fractions, percentages, and decimals is fundamental in arithmetic. Here’s a deeper dive into these conversions:

1. Converting Fractions to Percentages:

- To convert any fraction to a percentage, multiply the fraction by 100. This is because "percent" means per hundred.

- Example: To convert \(\frac { 3} { 4} \) to a percentage:

\[\frac { 3} { 4} \times 100 = 75\% \]

2. Converting Percentages to Decimals:

- To convert a percentage to a decimal, divide by 100.

- Example: To convert 45% to a decimal:

\[45\% = \frac { 45} { 100} = 0.45\]

3. Converting Decimals to Fractions:

- To convert a decimal to a fraction, write the decimal as the numerator with the appropriate power of ten as the denominator and simplify if possible.

- Example: To convert 0.75 to a fraction:

\[0.75 = \frac { 75} { 100} = \frac { 3} { 4} \]

These conversions are essential for various applications in mathematics, finance, science, and everyday calculations.

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