Worked example 2 Write each of the following as a fraction, a decimal and a percentage. (i) 35%
(ii) 0·425
Solution (i)
(ii)
(iii) 3
__ 8
(iii)
Practice questions 5.4
1. Convert the following fractions to decimals and percentages. (i) 3
__ 4
(ii) 3
__ 5
(ii) 0·17 (iii) 7
__ 20
(iii) 0·74 (iii) 8% (iv) 1
2. Convert the following decimals to fractions and percentages. (i) 0·4
(ii) 55%
__ 20
(iv) 0·05
3. Convert the following percentages to decimals and fractions. (i) 36%
4. Copy the table below and fi ll in the missing values. Fraction Decimal Percentage 0·8
(i) (ii) (iii) (iv) (v) 0·14
_ 8
7 45% 24% (vi) (vii) (viii) (ix) (x)
_ 4
1
5. Find the value of each of the following. (i) 75% of 396 (ii) 15% of 20 (iii) 32% of 325 (iv) 25% of 530 (v) 8% of 83
(iii) 5 kg out of 60 kg (iv) 150 cm out of 500 cm
(vi) 74% of 44
6. Express each quantity as a percentage. Round your answers to two decimal places where needed. (i) Score of 36 marks out of 60 (ii) 80 ml glass out of 400 ml
(iv) 60 g out of 1·5 kg
(v) 180 seconds out of 3 minutes
(v) 6 hours out of 24 hours (vi) 72 g out of 90 g
7. Express each quantity as a percentage. Round your answers to two decimal places where needed. (i) 60 cm cut out of 5 m rope (ii) 12 hours out of 3 days (iii) 75 cents out of €15
(vi) 200 ml out of 3 litres 88 Linking Thinking 1 (iv) 3% (v) 8