This tutorial explains how to convert between percentages, fractions, and decimals. Each question is solved step by step, followed by practice exercises with answers.
Convert \(20\%\) to an equivalent fraction in reduced form.
A percentage is already a fraction with denominator \(100\).
\[ 20\% = \frac{20}{100} \]Reduce the fraction by dividing both the numerator and denominator by \(20\):
\[ \frac{20}{100} = \frac{1}{5} \]Therefore,
\[ 20\% = \frac{1}{5} \]So, to convert a percentage into a fraction, write it over \(100\) and reduce.
Convert the fraction \( \frac{3}{4} \) to a percentage.
First, convert the fraction to a decimal by dividing the numerator by the denominator:
\[ \frac{3}{4} = 0.75 \]Multiply the decimal by \(100\) to convert it to a percentage:
\[ 0.75 = \frac{75}{100} = 75\% \]Convert \(0.06\) to an equivalent fraction in reduced form.
Write the decimal as a fraction with denominator \(100\):
\[ 0.06 = \frac{6}{100} \]Reduce the fraction by dividing both numerator and denominator by \(2\):
\[ \frac{6}{100} = \frac{3}{50} \]Convert \(0.1\) to a percentage.
Multiply the decimal by \(100\):
\[ 0.1 = \frac{10}{100} = 10\% \]Convert \( \frac{3}{5} \) into a decimal and a percentage.
Divide the numerator by the denominator to obtain the decimal:
\[ \frac{3}{5} = 0.6 \]Multiply the decimal by \(100\) to obtain the percentage:
\[ 0.6 = \frac{60}{100} = 60\% \]Convert \(0.08\) into a percentage and a reduced fraction.
First, convert the decimal to a percentage:
\[ 0.08 = \frac{8}{100} = 8\% \]Now reduce the fraction:
\[ \frac{8}{100} = \frac{2}{25} \]Related topics: Percentages | Fractions