Work out the following, giving your answers in their simplest form: a) 2 1/3 ÷ 1/4 b) 4 2/5 ÷ 1 1/5
a) 2 1/3 ÷ 1/4
b) 4 2/5 ÷ 1 1/5
a) Convert 2 1/3 to an improper fraction: 2 1/3 = 7/3. Divide by 1/4 by multiplying by the reciprocal: (7/3) × (4/1) = 28/3. Simplified, this is 9 1/3.
b) Convert 4 2/5 to an improper fraction: 4 2/5 = 22/5. Convert 1 1/5 to an improper fraction: 1 1/5 = 6/5. Divide by 6/5 by multiplying by the reciprocal: (22/5) × (5/6) = 22/6. Simplified, this is 3 2/3.
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