3/7 of the students in a class are girls. Express the ratio of the number of girls to the number of boys in its simplest form.
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Worked Solution
Step 1: Interpret the fraction.
3/7 of the students are girls.
This means: out of every 7 students, 3 are girls and the rest are boys.
Step 2: Find the number of parts that are boys.
Boys = 7 − 3 = 4 parts
Step 3: Write the ratio of girls to boys.
Girls : Boys = 3 : 4
Step 4: Check if the ratio is in simplest form.
HCF(3, 4) = 1, so 3 : 4 is already in its simplest form.
Answer: Girls : Boys = 3 : 4
Correct answer: 3 : 4
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