Pupils may not appreciate that equivalent fractions and equivalent fractions and decimals have exactly the same value and can be substituted which may be beneficial when solving problems.

Model the thinking when there is a mixture of fractions and decimal representations in a problem and identify the decision as to whether to convert all to decimals or all to fractions as a step in the the problem solving process.

Keywords

Equivalent - Numbers are equivalent if they have exactly the same value.

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Starter quiz

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6 Questions

Q1.

Match the fraction with the equivalent or approximately equivalent decimal.

Correct Answer:$${6} \over {100}$$,0.06

0.06

Correct Answer:$${2} \over {3}$$,0.6667

0.6667

Correct Answer:$${3} \over {5}$$,0.6

0.6

Correct Answer:$${3} \over {10}$$,0.3

0.3

Q2.

Which of these expressions have a value of 0?

$${3} \over {5}$$ - 0.3

$${3} \over {5}$$ - 0.5

Correct answer: $${3} \over {5}$$ - 0.6

$${3} \over {5}$$ - 0.8

Q3.

Which of these expressions have a value of 1?

$${1}\over{4}$$ + 0.25

$${1}\over{4}$$ + 0.5

$${1}\over{4}$$ + 0.6

Correct answer: $${1}\over{4}$$ + 0.75

Q4.

Which fraction and decimal equivalent could label point a on the number line?

0.3

Correct answer: $${2}\over{10}$$

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

Correct answer: $${1}\over{5}$$

Correct answer: 0.2

Q5.

Which fraction and decimal equivalent could label point a on the number line?

$${4}\over{5}$$

Correct answer: $${3}\over{5}$$

Correct answer: 0.6

0.7

Correct answer: $${6}\over{10}$$

Q6.

Which fraction and decimal equivalent could label point a on the number line?

$${0}\over{4}$$

Correct answer: $${1}\over{8}$$

0.1

Correct answer: 0.125

Exit quiz

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6 Questions

Q1.

Which fraction and decimal equivalent could label point a on the number line?

$${2}\over{5}$$

Correct answer: 32.4

32.2

Correct answer: 32 $${2}\over{5}$$

0.4

Q2.

Which fraction and decimal equivalent could label point a on the number line?

$${3}\over{4}$$

Correct answer: 110.75

Correct answer: 110 $${3}\over{4}$$

0.75

111.75

Q3.

What is each jump worth on this number line as a decimal?

Correct Answer: 0.5, nought point 5, zero point 5

Q4.

How much liquid is in the jug as a fraction and decimal of a litre?

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

Correct answer: $${4}\over{5}$$

$${1}\over{5}$$

0.4

Correct answer: 0.8

Q5.

What mass is the arrow pointing to on this scale?

$${2}\over{5}$$ kg

Correct answer: 5 $${2}\over{5}$$ kg

0.4 kg

5.2 kg

Correct answer: 5.4 kg

Q6.

Order these fractions and decimals from the smallest to the largest.

1 - 1 $${1}\over{50}$$

2 - 1.2

3 - 1 $${4}\over{10}$$

4 - 1.5

5 - 1 $${6}\over{10}$$