Deepening understanding of multiplication with fractions | Maths

Starter quiz

A number that has exactly 2 factors is a ______ number.

'prime' ✓
Which of the following will be less than 20?

${2}\over{5}$ $\times20$ ✓

${20}\times1 {{1} \over {3}}$

${6}\over{5}$ $\times20$

${20}\times{19\over20}$ ✓
${2}\over{3}$ × ${1}\over{8}$ is ______ than ${2}\over{3}$ × ${1}\over{9}$ .

'greater' ✓
Using this fact, ${8}\over{85}$ × ${25}\over{140}$ = ${100}\over{5950}$ , which of the following are true?

${2}\over{85}$ × ${25}\over{140}$ = ${20}\over{5950}$

${4}\over{85}$ × ${25}\over{140}$ = ${50}\over{5950}$ ✓

${16}\over{85}$ × ${25}\over{140}$ = ${200}\over{5950}$ ✓

${20}\over{85}$ × ${25}\over{140}$ = ${250}\over{5950}$ ✓
Calculate ${2}\over{3}$ × ${3}\over{4}$ × 15. Give your answer as a mixed number.

${15}\over{2}$

${90}\over{12}$

$6 {{1} \over {2}}$

$7 {{1} \over {2}}$ ✓
Calculate ${132}\over{385}$ × ${15}\over{18}$ by writing each numerator and denominator as a product of its prime factors.

${2}\over{7}$ ✓

${3}\over{7}$

${5}\over{7}$

${6}\over{7}$

Which of the following is the correct definition for an improper fraction?

A fraction where the numerator is greater than the denominator.

A fraction where the denominator is greater than the numerator.

A fraction where the numerator is greater than or equal to the denominator. ✓

A fraction where the denominator is greater than or equal to the numerator.
Convert $3 {{1} \over {3}}$ into an improper fraction.

${7}\over{3}$

${8}\over{3}$

${9}\over{3}$

${10}\over{3}$ ✓
Calculate $3 {{1} \over {3}}$ × 13.

$43 {{1} \over {3}}$ ✓

$43 {{2} \over {3}}$

$44 {{1} \over {3}}$

$44 {{2} \over {3}}$
Which of the following is not a correct method for calculating $1 {{2} \over {5}}$ × $4 {{3} \over {4}}$ ?

${7}\over{5}$ × ${19}\over{4}$

1 × 2 + ${2}\over{5}$ × ${3}\over{4}$ ✓
Calculate $2 {{3} \over {5}}$ × $3 {{2} \over {3}}$ .

$8 {{8} \over {15}}$

$8 {{9} \over {15}}$

$9 {{7} \over {15}}$

$9 {{8} \over {15}}$ ✓

$9 {{9} \over {15}}$
Use the most efficient method to calculate $5 {{1} \over {4}}$ × $1 {{3} \over {7}}$ . Give your answer in its simplest form.

${15}\over{2}$

${17}\over{2}$

$7 {{1} \over {2}}$ ✓

$8 {{1} \over {2}}$

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Only finding the product of the integers and fractional parts when multiplying mixed numbers.

Link back to the area model, there will be 2 parts which they have not found the area of.

Product - A product is the result of two or more numbers multiplied together.
Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Mixed number - A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.