Fractions and Percentages
Year 5 students connect fractions, decimals, and percentages as three equivalent ways to express parts of a whole, and convert between them.
What You Need to Know
Key Concept Diagram
Percent means "out of one hundred"; 50% means 50 out of 100 or the fraction 50/100
To convert a fraction to a percentage, find an equivalent fraction with denominator 100
Common equivalences: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%
Percentages are used to describe discounts, test scores, and chance in everyday life
Key Vocabulary
Percent (%)
A ratio out of 100; the symbol % means "per hundred"
Equivalent
Having the same value even though written differently, e.g. 1/2 = 50%
Numerator
The top number of a fraction showing how many parts are taken
Denominator
The bottom number of a fraction showing how many equal parts in the whole
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
What percentage is equivalent to 3/4?
Question 2
A jacket costs $80. It is discounted by 25%. How much is saved?
Question 3
Which is the largest? 0.6, 55%, or 3/5
Key Concepts Summary
- ●Percent means "out of one hundred"; 50% means 50 out of 100 or the fraction 50/100
- ●To convert a fraction to a percentage, find an equivalent fraction with denominator 100
- ●Common equivalences: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%
- ●Percentages are used to describe discounts, test scores, and chance in everyday life