At an NTUC FairPrice cooking demo, the chef uses $1.2$ kg of jasmine rice and $450$ g of brown rice. Express the ratio of the mass of jasmine rice to the mass of brown rice in its simplest form.
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Worked Solution
Step 1: The two masses must be in the SAME unit before simplifying. Convert 1.2 kg to grams: $1.2 \times 1000 = 1200$ g.\n
Step 2: Write the ratio of jasmine rice to brown rice: $1200 : 450$.\n
Step 3: Find the highest common factor (HCF) of 1200 and 450. Both are divisible by 150 (since $1200 = 8 \times 150$ and $450 = 3 \times 150$).\n
Step 4: Divide BOTH terms by 150: $1200 \div 150 : 450 \div 150 = 8 : 3$.\n
Step 5: 8 and 3 share no common factor greater than 1, so the simplest form is $8 : 3$.
Answer: 8 : 3
Correct answer: 8 : 3
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