Grade 5, Fractions, decimals and percents
Equivalent fractions
Find the missing number in equivalent fractions, then write fractions in lowest terms.
Three levels
One skill, rising difficulty
Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.
- Level 1: Find the missing top number
- Write the missing number to make equivalent fractions.
- Level 2: Find the missing number, top or bottom
- Write the missing number to make equivalent fractions.
- Level 3: Write in lowest terms
- Write each fraction in lowest terms.
Worked example
How the sheet explains it
The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.
Level 1: Find the missing top number
3/5 = 12/20
- The bottom number 5 became 20: 5 × 4 = 20.
- Multiply the top number by 4 too: 3 × 4 = 12, so 3/5 = 12/20.
Level 2: Find the missing number, top or bottom
12/18 = 2/3
- The top number 12 became 2: 12 ÷ 6 = 2.
- Divide the bottom number by 6 too: 18 ÷ 6 = 3, so 12/18 = 2/3.
- If the number became bigger, multiply instead. Always do the same to the top and the bottom.
Level 3: Write in lowest terms
15/25 = 3/5
- Find the biggest number that divides both 15 and 25: 5.
- Divide the top and the bottom by 5: 15 ÷ 5 = 3 and 25 ÷ 5 = 5.
- If a number bigger than 1 still divides both, divide again. Only 1 divides both 3 and 5, so stop.
- So 15/25 = 3/5 in lowest terms.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Fractions
Every reference, facts and support sheet is listed in the worksheet catalogue.
In the BC curriculum
Content standards
The British Columbia content standard this skill is written for, by the codes used across this site:
- bc.math.5.c.3
The wording of each standard is on the Province's mathematics curriculum page.
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