New
New
Year 6
Explain how to divide a fraction by a whole number efficiently
I can explain how to divide a fraction by a whole number efficiently.
New
New
Year 6
Explain how to divide a fraction by a whole number efficiently
I can explain how to divide a fraction by a whole number efficiently.
Lesson details
Key learning points
- When you divide a fraction by a whole number, you can calculate this efficiently.
- When the numerator is a multiple of the divisor, you can unitise to make the calculation easier to manage.
- When the numerator is not a multiple of the whole, you can convert the equation to to multiply by a unit fraction.
- When you divide a non-unit fraction by a whole number, you notice the denominator is multiplied by the whole number.
Keywords
Divisor - The divisor is the number that we divide by. For example, in this equation, 3 is the divisor.
Common misconception
Pupils automatically convert the division equation to multiply by a unit fraction regardless of the calculation.
Many calculations can be managed through developing a sense of fractions. Where pupils have a sense of fractional magnitude, it is often easier to solve these calculations mentally. Continue to encourage representing these equations using model.
Allow pupils to explore fractional magnitude and represent this using decimals as the numerators. Whilst this is not convention to record fractions in this way, it can help pupils reason about the comparative size of fractions or the products they anticipate.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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6 Questions
Q1.
Tick the equivalent multiplication expression for $$ {1} \over {8}$$ ÷ 2
2 × $$ {1} \over {8}$$
Correct answer: $$ {1} \over {8}$$ × $$ {1} \over {2}$$
$$ {1} \over {8}$$ × $$ {1} \over {2}$$
Correct answer: $$ {1} \over {2}$$ × $$ {1} \over {8}$$
$$ {1} \over {2}$$ × $$ {1} \over {8}$$
8 × 2
Q2.
Tick the equivalent multiplication expression for $$ {4} \over {5}$$ ÷ 5
5 × $$ {4} \over {5}$$
Correct answer: $$ {4} \over {5}$$ × $$ {1} \over {5}$$
$$ {4} \over {5}$$ × $$ {1} \over {5}$$
$$ {1} \over {5}$$ × 4
$$ {4} \over {5}$$ × 5
Q3.
Tick the missing number.
$$ {1} \over {3}$$
Correct answer: 3
3
4
31
Q4.
What is the result of $$ {4} \over {6}$$ ÷ 2 =
$$ {8} \over {6}$$
Correct answer: $$ {4} \over {12}$$
$$ {4} \over {12}$$
$$ {2} \over {6}$$
$$ {1} \over {6}$$
Q5.
Write the divisor.
Correct Answer: 3
3
Q6.
Write the divisor.
Correct Answer: 1
1
Exit quiz
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6 Questions
Q1.
Tick the calculations that are best solved using multiplication.
Correct answer: $$ {1} \over {7}$$ ÷ 2 =
$$ {1} \over {7}$$ ÷ 2 =
$$ {2} \over {7}$$ ÷ 2 =
Correct answer: $$ {3} \over {7}$$ ÷ 2 =
$$ {3} \over {7}$$ ÷ 2 =
$$ {4} \over {7}$$ ÷ 2 =
$$ {6} \over {7}$$ ÷ 2 =
Q2.
Tick the calculations that are best solved using division.
$$ {3} \over {5}$$ ÷ 2 =
Correct answer: $$ {4} \over {5}$$ ÷ 2 =
$$ {4} \over {5}$$ ÷ 2 =
$$ {5} \over {5}$$ ÷ 2 =
Correct answer: $$ {6} \over {5}$$ ÷ 2 =
$$ {6} \over {5}$$ ÷ 2 =
$$ {7} \over {5}$$ ÷ 2 =
Q3.
Tick the possible solutions for: $$ {6} \over {10}$$ ÷ 3 = ___
$$ {3} \over {10}$$
Correct answer: $$ {2} \over {10}$$
$$ {2} \over {10}$$
Correct answer: $$ {6} \over {30}$$
$$ {6} \over {30}$$
$$ {3} \over {6}$$
Q4.
Tick the possible solutions for: $$ {12} \over {15}$$ ÷ 3 = ___
$$ {4} \over {5}$$
Correct answer: $$ {4} \over {15}$$
$$ {4} \over {15}$$
$$ {12} \over {5}$$
Correct answer: $$ {12} \over {45}$$
$$ {12} \over {45}$$
Q5.
Tick the equations where the result would be a unit fraction.
Correct answer: $$ {12} \over {12}$$ ÷ 3 =
$$ {12} \over {12}$$ ÷ 3 =
Correct answer: $$ {4} \over {15}$$ ÷ 4 =
$$ {4} \over {15}$$ ÷ 4 =
Correct answer: $$ {5} \over {15}$$ ÷ 5 =
$$ {5} \over {15}$$ ÷ 5 =
$$ {10} \over {15}$$ ÷ 5 =
Q6.
Tick the possible missing numbers.
$$ {8} \over {24}$$
Correct answer: $$ {8} \over {12}$$
$$ {8} \over {12}$$
Correct answer: $$ {4} \over {6}$$
$$ {4} \over {6}$$
$$ {1} \over {3}$$
$$ {2} \over {6}$$