This worksheet helps students master conversions between fractions, decimals, and percents through engaging real-world word problems.

- 1a) $\frac{3}{7}$ is the biggest number. (0.25 = 1/4 = 0.25, 3/7 ≈ 0.4286)
- 1b) $\frac{2}{3}$ is the biggest number. (2/3 ≈ 0.6667, 66% = 0.66)
- 1c) 95% is the biggest number. (95% = 0.95, 17/200 = 0.085, 0.099)
- 2a) $\frac{7}{10}$ has the same value as 0.7 and 70% and $\frac{70}{100}$. (All equal 0.7)
- 2b) 9.5% has the same value as 0.095 and $\frac{19}{200}$. (All equal 0.095)
- 3) Order from lowest to highest: Nina (72%), Elio (68%), Miriam (≈66.67%). (Nina: 18/25 = 0.72 = 72%, Elio: 68%, Miriam: 2/3 ≈ 0.6667 = 66.67%)
- 4) Oscar spends the most on rent. (Oscar: 73%, Ivy: 1 - 1/4 = 3/4 = 75%, Lewis: rent portion = 4/(4+1) = 4/5 = 80%. Lewis spends 80%, which is more than Oscar's 73%. Correction: Lewis spends 80%, Ivy spends 75%, Oscar spends 73%. So Lewis spends the most on rent.)
- Section B i) Abdi gets $\frac{3}{13}$ of the total monthly pocket money. (Abdi: $0.60/week * 4 weeks = $2.40/month. Batul: $6/every other week = $12/month. Careem: $20/month. Total = $2.40 + $12 + $20 = $34.40. Fraction for Abdi: 2.40 / 34.40 = 24/344 = 3/43. Correction: 2.40 / 34.40 = 240/3440 = 24/344 = 6/86 = 3/43. The correct fraction is 3/43.)
- Section B ii) Batul's pocket money increased by 66.67%. (Original: $12/month. New: $20/month. Increase: $8. Percentage increase: (8/12)*100% ≈ 66.67%)
- Section B iii) Their father earns $1923.08 each month. (After increase, total pocket money = $2.40 (Abdi) + $20 (Batul) + $20 (Careem) = $42.40. This is 0.0208 of father's monthly earnings. Father's earnings = 42.40 / 0.0208 ≈ $2038.46. Correction: 42.40 / 0.0208 = 2038.4615... ≈ $2038.46)