Grade 7, Fractions, decimals and percents
Divide fractions
Divide a whole number by a unit fraction, a fraction by a whole number, then a fraction by a fraction.
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 whole number by a unit fraction
- Divide. Write the answer as a whole number.
- Level 2: A fraction by a whole number
- Divide. Write the answer in lowest terms.
- Level 3: Fraction by fraction
- Divide. 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 whole number by a unit fraction
3 ÷ 1/4 = 12
- To divide by a fraction, multiply by the fraction turned upside down.
- Turn 1/4 upside down to get 4/1 = 4. So 3 ÷ 1/4 = 3 × 4 = 12.
- Check by counting: 4 quarters make 1 whole, so 3 wholes make 3 × 4 = 12 quarters.
Level 2: A fraction by a whole number
4/5 ÷ 2 = 2/5
- To divide by a whole number, write it over 1 and turn it upside down: 2 = 2/1, so multiply by 1/2.
- Dividing by 2 is multiplying by 1/2, so 4/5 ÷ 2 = 4/5 × 1/2.
- Multiply the top numbers, then the bottom numbers: 4 × 1 = 4 and 5 × 2 = 10, so 4/5 × 1/2 = 4/10.
- Write it in lowest terms: 4/10 = 2/5.
Level 3: Fraction by fraction
5/6 ÷ 2/3 = 1 1/4
- To divide by a fraction, multiply by the fraction turned upside down.
- Turn 2/3 upside down to get 3/2, so 5/6 ÷ 2/3 = 5/6 × 3/2.
- Multiply the top numbers, then the bottom numbers: 5 × 3 = 15 and 6 × 2 = 12, so 5/6 × 3/2 = 15/12.
- Write it in lowest terms, then as a mixed number when it is more than 1: 15/12 = 5/4 = 1 1/4.
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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