Questions: How do you write 5/20 as a percentage? Write your answer using a percent sign (%).
Transcript text: How do you write $\frac{\mathbf{5}}{\mathbf{2 0}}$ as a percentage?
Write your answer using a percent sign (%).
Solution
Solution Steps
Step 1: Simplify the fraction
First, simplify the fraction \( \frac{5}{20} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
\[
\frac{5}{20} = \frac{5 \div 5}{20 \div 5} = \frac{1}{4}.
\]
Step 2: Convert the fraction to a decimal
Next, convert the simplified fraction \( \frac{1}{4} \) to a decimal by performing the division:
\[
\frac{1}{4} = 0.25.
\]
Step 3: Convert the decimal to a percentage
Finally, convert the decimal \( 0.25 \) to a percentage by multiplying by 100 and adding the percent sign:
\[
0.25 \times 100 = 25\%.
\]