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Year 7

Converting fractions with technology

I can convert from fractions to decimals and back again using the converter key on a calculator.

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New
New
Year 7

Converting fractions with technology

I can convert from fractions to decimals and back again using the converter key on a calculator.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. A calculator can be used to simplify fractions.
  2. A calculator can be used to convert fractions to decimals by dividing.
  3. A calculator can be used to convert fractions to decimals by using the appropriate key.
  4. A calculator can be used to convert a decimal to a fraction by using the appropriate key.

Common misconception

The calculator rounds recurring/non terminating decimal to 10 d.p. and it it not terminating.

The fractional form will give a clearer idea if the decimal equivalent is terminating or not.

Keywords

  • 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.

Pupils can work an answer out more accurately than a calculator. Using short division and their calculator, work out 1 divided by 7 to more than 10 decimal places. This means pupils have given a more accurate answer than the calculator.
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).

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Starter quiz

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6 Questions

Q1.
Complete the statement. A factor is a which exactly divides another .
Correct Answer: term
Q2.
Select all the fractions that simplify to $$5 \over 8$$.
$$8\over 12$$
$$15\over 26$$
Correct answer: $$10\over 16$$
$$15\over 32$$
Correct answer: $$25\over 40$$
Q3.
Which of the following factors of 48 and 180 is the best choice to efficiently simplify $$48\over180$$?
3
6
Correct answer: 12
15
Q4.
Write 360 as a product of prime factors.
$$2^2 \times 3^2 \times 5$$
Correct answer: $$2^3 \times 3^2 \times 5$$
$$2^2 \times 3^3 \times 5$$
$$2^2 \times 3^2 \times 5^2$$
Q5.
Which of these fractions is equivalent to $$1080 \over 2100$$
$$\frac{2^2 \times 3^2 \times 5}{2^2 \times 5^2 \times 7}$$
$$\frac{2^3 \times 3^2 \times 5}{2^2 \times 5 \times 7}$$
$$\frac{2^3 \times 3^2 \times 5^2}{2^2 \times 5^2 \times 7^2}$$
$$\frac{2^3 \times 3^2 \times 5}{2^2 \times 5^2 \times 7}$$
Correct answer: $$\frac{2^3 \times 3^3 \times 5}{2^2 \times 3 \times 5^2 \times 7}$$
Q6.
Match each fraction to its simplified equivalent fraction.
Correct Answer:$$84\over210$$,$$2\over5$$

$$2\over5$$

Correct Answer:$$48\over210$$,$$8\over35$$

$$8\over35$$

Correct Answer:$$48\over84$$,$$4\over7$$

$$4\over7$$

Correct Answer:$$84\over48$$,$$1 \frac{3}{4}$$

$$1 \frac{3}{4}$$

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6 Questions

Q1.
Using a calculator, calculate the simplified fraction of $$96 \over 90$$.
$$48 \over 45$$
$$32 \over 30$$
Correct answer: $$16 \over 15$$
$$24 \over 22$$
Q2.
Using a calculator, work out the answer to $${16 \over 15} \times 315$$.
21
294
Correct answer: 336
5040
Q3.
Sam's calculator gives an answer as a fraction. What is the name of the key that should be pressed first on the Casio fx-991CW in order to convert this fraction to a decimal?
Correct Answer: format, FORMAT, Format
Q4.
Using a calculator, match the decimal to the equivalent fraction.
Correct Answer:0.77,$$77 \over 100$$

$$77 \over 100$$

Correct Answer:0.972,$$243 \over 250$$

$$243 \over 250$$

Correct Answer:3.294,$$1647 \over 500$$

$$1647 \over 500$$

Correct Answer:3.924,$$981 \over 250$$

$$981 \over 250$$

Q5.
The format key on the Casio fx-991CW only allows you to change a decimal to an improper fraction.
True
Correct answer: False
Q6.
Using your calculator, find the answer to $${4 \over 19} \times {26 \over 62}$$
0.0882852
0.08828522
0.088285229
Correct answer: 0.0882852292
0.08828522922