Compute (4/5) ÷ (2/3).

Compute (4/5) ÷ (2/3).

• A. 4/5
• B. 8/15
• C. 6/5
• D. 2

Answer: (C)

Dividing by a fraction means multiplying by its reciprocal. So (4/5) ÷ (2/3) becomes (4/5) × (3/2). You can simplify before multiplying: cancel a factor of 2 from 4 and 2 to get (2/5) × (3/1) = 6/5. Or multiply straight and then simplify: 4 × 3 = 12 and 5 × 2 = 10, which reduces by a factor of 2 to 6/5. The result is 6/5, which is 1 and 1/5. This makes sense because dividing by a fraction (a number less than 1) increases the quotient. If you had multiplied by the divisor instead of its reciprocal, you’d get 8/15, which is smaller than 1 and not the correct result for division.

Dividing by a fraction means multiplying by its reciprocal. So (4/5) ÷ (2/3) becomes (4/5) × (3/2).

You can simplify before multiplying: cancel a factor of 2 from 4 and 2 to get (2/5) × (3/1) = 6/5. Or multiply straight and then simplify: 4 × 3 = 12 and 5 × 2 = 10, which reduces by a factor of 2 to 6/5.

The result is 6/5, which is 1 and 1/5. This makes sense because dividing by a fraction (a number less than 1) increases the quotient. If you had multiplied by the divisor instead of its reciprocal, you’d get 8/15, which is smaller than 1 and not the correct result for division.