FDP equivalence Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE FDP equivalence questions. See exactly how to solve problems on fraction to decimal, common conversions, decimal to percentage, percentage to decimal.

fraction to decimalcommon conversionsdecimal to percentagepercentage to decimalfraction to percentagepercentage to fraction
GCSE Foundation70 questionsStep-by-step solutions
Question 1
1 markeasy
Write 12\frac{1}{2} as a decimal.

Worked solution

  1. Turn the fraction into a division

    12=1÷2\frac{1}{2} = 1 \div 2

    A fraction bar just means 'divide the top number by the bottom number'.

  2. Work out the division

    1÷2=0.51 \div 2 = 0.5

    Dividing gives 0.50.5. This is one of the conversions worth learning by heart.

  3. State the answer

    0.50.5

    So 12=0.5\frac{1}{2} = 0.5 exactly.

Answer
0.50.5
Question 2
1 markeasy
Write 14\frac{1}{4} as a decimal.

Worked solution

  1. Turn the fraction into a division

    14=1÷4\frac{1}{4} = 1 \div 4

    A fraction bar just means 'divide the top number by the bottom number'.

  2. Work out the division

    1÷4=0.251 \div 4 = 0.25

    Dividing gives 0.250.25. This is one of the conversions worth learning by heart.

  3. State the answer

    0.250.25

    So 14=0.25\frac{1}{4} = 0.25 exactly.

Answer
0.250.25
Question 3
1 markeasy
Write 34\frac{3}{4} as a decimal.

Worked solution

  1. Turn the fraction into a division

    34=3÷4\frac{3}{4} = 3 \div 4

    A fraction bar just means 'divide the top number by the bottom number'.

  2. Work out the division

    3÷4=0.753 \div 4 = 0.75

    Dividing gives 0.750.75. This is one of the conversions worth learning by heart.

  3. State the answer

    0.750.75

    So 34=0.75\frac{3}{4} = 0.75 exactly.

Answer
0.750.75
Question 4
1 markeasy
Write 15\frac{1}{5} as a decimal.

Worked solution

  1. Turn the fraction into a division

    15=1÷5\frac{1}{5} = 1 \div 5

    A fraction bar just means 'divide the top number by the bottom number'.

  2. Work out the division

    1÷5=0.21 \div 5 = 0.2

    Dividing gives 0.20.2. This is one of the conversions worth learning by heart.

  3. State the answer

    0.20.2

    So 15=0.2\frac{1}{5} = 0.2 exactly.

Answer
0.20.2
Question 5
1 markeasy
Write 110\frac{1}{10} as a decimal.

Worked solution

  1. Turn the fraction into a division

    110=1÷10\frac{1}{10} = 1 \div 10

    A fraction bar just means 'divide the top number by the bottom number'.

  2. Work out the division

    1÷10=0.11 \div 10 = 0.1

    Dividing gives 0.10.1. This is one of the conversions worth learning by heart.

  3. State the answer

    0.10.1

    So 110=0.1\frac{1}{10} = 0.1 exactly.

Answer
0.10.1

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