Question

Divide and simplify your answer.
(a) 3 ÷ 6 /7
(b) 6 /7 ÷3 (c) 71/ 2 ÷ 1/ 2

Answer 1

To divide and simplify the expressions, we multiply the numerator by the reciprocal of the denominator. The simplified answers are: (a) 1/14, (b) 2/7, and (c) 71.

Step-by-step explanation:

1. (a) To divide and simplify the expression 3 ÷ 6 / 7, we start by dividing 3 by 6 which gives us 1/2. Then we divide 1/2 by 7, which can be done by multiplying 1/2 by the reciprocal of 7, which is 1/7. So the simplified answer is 1/2 * 1/7 = 1/14.
2. (b) To divide and simplify the expression 6 / 7 ÷ 3, we start by dividing 6 by 7 which gives us 6/7. Then we divide 6/7 by 3, which can be done by multiplying 6/7 by the reciprocal of 3, which is 1/3. So the simplified answer is 6/7 * 1/3 = 2/7.
3. (c) To divide and simplify the expression 71/2 ÷ 1/2, we start by dividing 71/2 by 1/2, which can be done by multiplying 71/2 by the reciprocal of 1/2, which is 2/1. So the simplified answer is 71/2 * 2/1 = 71.