Percentages,
Decimals and
Fractions
WALT understand the relationship between Percentages, Decimals and Fractions
STEP ONE: Turn these Fractions into Decimals
Use a calculator to divide the numerator (top) by the denominator (bottom)
Fraction | ½ | ¼ | ⅕ | ¾ | ⅖ |
Decimal | 0.5 | | | | |
STEP TWO: Turn these Decimals into Percentages
Multiply the decimal by 100 by moving the decimal point two places to the right.
Decimal | 0.50 | 0.25 | 0.20 | 0.75 | 0.40 |
Percentage | 50% | | | | |
STEP THREE: Complete this table by doing the last two steps.
Fraction | Decimal | Percentage |
¼ | 0.25 | 25% |
¾ | | 75% |
⅘ | .80 | |
⅙ | | |
⅗ | | |
STEP FOUR: Work out the percentages of these whole numbers.
Whole Number | Percentage | Working Out | Answer |
20 | 50% | 50 ÷ 100 = 0.5 0.5 x 20 = 10 | 10 |
50 | 10% | 10 ÷ 100 = ? ? x 50 = | |
60 | 20% | 20 ÷ 100 = ? ? x 60 = | |
80 | 40% | 40 ÷ 100 = ? ? x 80 = | |
120 | 75% | 75 ÷ 100 = ? ? x 120 = | |
Word Problems
Problem: | Working Out: | Answer: |
100/200 students were absent today. What percentage of students were away? | | |
Of the 200 students, 75% of them participate in the science fair. How many students take part in the science fair? | | |
At this school they use chromebooks too. The price at the store is $300, but the students get a 20% discount. What price can they buy it for? | | |
HARD: Of the 200 students 25% of them have blond hair, 60% of them have black hair. The rest have brown hair. How many students have brown hair? | | |