Convert Mixed Numbers to Percents
Converting a mixed number to a percent requires two steps: convert to an improper fraction, then find an equivalent fraction with denominator 100. For 1 and 1/4: convert to 5/4, then multiply numerator and denominator by 25 to get 125/100 = 125%. For 2 and 3/5: convert to 13/5, multiply by 20 to get 260/100 = 260%. Mixed numbers always produce percents greater than 100% because they represent values greater than 1. This skill from Reveal Math, Course 1, Module 2 connects fraction operations to percent notation in 6th grade math.
Key Concepts
To convert a mixed number to a percent: 1. Convert the mixed number to an improper fraction. 2. Find an equivalent fraction with a denominator of $100$. 3. Write the numerator with a percent symbol ($\%$).
$$a \frac{b}{c} = \frac{x}{100} = x\%$$.
Common Questions
How do I convert a mixed number to a percent?
Step 1: Convert the mixed number to an improper fraction. Step 2: Find an equivalent fraction with denominator 100. Step 3: The numerator is the percent.
Convert 1 and 1/4 to a percent.
1 and 1/4 = 5/4. Multiply both by 25: 125/100 = 125%.
Convert 2 and 3/5 to a percent.
2 and 3/5 = 13/5. Multiply both by 20: 260/100 = 260%.
Why does a mixed number always give a percent greater than 100%?
A mixed number represents a value greater than 1. Since 1 = 100%, any number greater than 1 corresponds to a percent greater than 100%.
What if the denominator does not divide evenly into 100?
Convert the improper fraction to a decimal by dividing (for example, 7/3 = 2.333...), then multiply by 100 to get the percent (233.3..%).
When do 6th graders learn to convert mixed numbers to percents?
Module 2 of Reveal Math, Course 1 covers this in the Fractions, Decimals, and Percents unit.