Fraction comparison worksheet with visual aids and answer keys.

Let’s solve each part step by step. We’re looking for the best value — that means the lowest cost per unit (like per kg, per liter, or per item).

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1. Compare costs and find best value:

#### a) Rice bags:
We need to find cost per kg.

- 500g for $2 → 500g = 0.5kg → Cost per kg = $2 ÷ 0.5 = $4/kg
- 1kg for $3.50 → $3.50/kg
- 2kg for $6 → $6 ÷ 2 = $3/kg
- 5kg for $14 → $14 ÷ 5 = $2.80/kg

✔ Best value: 5kg bag at $2.80/kg

#### b) Juice bottles:
Cost per liter.

- 375mL for $1.20 → 375mL = 0.375L → $1.20 ÷ 0.375 = $3.20/L
- 750mL for $2.10 → 0.75L → $2.10 ÷ 0.75 = $2.80/L
- 1L for $2.90 → $2.90/L
- 2L for $5.50 → $5.50 ÷ 2 = $2.75/L

✔ Best value: 2L bottle at $2.75/L

#### c) Apples:
Cost per kg.

- 500g for $1.80 → 0.5kg → $1.80 ÷ 0.5 = $3.60/kg
- 1kg for $3.20 → $3.20/kg
- 2kg for $6.00 → $6 ÷ 2 = $3.00/kg
- 5kg for $14.50 → $14.50 ÷ 5 = $2.90/kg

✔ Best value: 5kg bag at $2.90/kg

#### d) Pasta boxes:
Cost per kg.

- 250g for $1.00 → 0.25kg → $1.00 ÷ 0.25 = $4.00/kg
- 500g for $1.80 → 0.5kg → $1.80 ÷ 0.5 = $3.60/kg
- 1kg for $3.40 → $3.40/kg
- 2kg for $6.50 → $6.50 ÷ 2 = $3.25/kg

✔ Best value: 2kg box at $3.25/kg

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2. Use table values to answer questions:

Table gives:

| Item | Mass/Volume | Cost |
|---------------|-------------|--------|
| Flour | 1kg | $2.50 |
| Sugar | 1kg | $2.80 |
| Butter | 500g | $3.00 |
| Eggs (dozen) | 12 eggs | $4.20 |

#### Question 1: How much would it cost to buy 2kg of flour?

Flour is $2.50 per kg → 2 × $2.50 = $5.00

#### Question 2: What is the cost per egg if a dozen costs $4.20?

Dozen = 12 eggs → $4.20 ÷ 12 = $0.35 per egg

#### Question 3: Which is cheaper per kg: sugar or butter?

Sugar: $2.80 per kg

Butter: 500g for $3.00 → so 1kg = 2 × $3.00 = $6.00 per kg

→ Sugar ($2.80/kg) is cheaper than butter ($6.00/kg)

✔ Answer: Sugar

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Final Answer:
1a) 5kg rice bag
1b) 2L juice bottle
1c) 5kg apples bag
1d) 2kg pasta box
2.1) $5.00
2.2) $0.35
2.3) Sugar