Grade 7, Fractions, decimals and percents
Multiply fractions
Find a fraction of a whole number, multiply fraction by fraction, then multiply with mixed numbers.
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: A fraction of a whole number
- Multiply. Write the answer in lowest terms; use a mixed number when it is more than 1.
- Level 2: Fraction by fraction
- Multiply. Write the answer in lowest terms.
- Level 3: With mixed numbers
- Multiply. Write the answer in lowest terms; use a mixed number when it is more than 1.
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: A fraction of a whole number
3/4 × 6 = 4 1/2
- 3/4 of 6 means 3/4 × 6.
- Multiply the top number by the whole number and keep the bottom: 3 × 6 = 18, so 3/4 × 6 = 18/4.
- Write it in lowest terms, then as a mixed number when it is more than 1: 18/4 = 9/2 = 4 1/2.
Level 2: Fraction by fraction
5/6 × 4/5 = 2/3
- Multiply the top numbers, then the bottom numbers: 5 × 4 = 20 and 6 × 5 = 30, so 5/6 × 4/5 = 20/30.
- Write it in lowest terms. The biggest number that divides both 20 and 30 is 10: 20/30 = 2/3.
- If no whole number more than 1 divides both the top and the bottom, it is already in lowest terms.
Level 3: With mixed numbers
2 1/4 × 2/3 = 1 1/2
- Improper fraction first: whole number times bottom, plus top. 2 × 4 + 1 = 9, so 2 1/4 = 9/4.
- Multiply the tops, then the bottoms: 9 × 2 = 18 and 4 × 3 = 12, so 9/4 × 2/3 = 18/12.
- Write it in lowest terms, then as a mixed number when it is more than 1: 18/12 = 3/2 = 1 1/2.
Goes with
Reference sheets
No reference sheet is written for this skill yet.
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.7.c.4
The wording of each standard is on the Province's mathematics curriculum page.
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