Question

The value of ½ of (3/4÷ 2/3) is

Answer 1

There are infinitely many possibilities, but the midpoint between

1

3

and

1

2

is

5

12

Explanation:

For any two numbers

a

and

b

, the average

1

2

(

a

+

b

)

lies between them.

So to find a fraction between

1

3

and

1

2

we can form the average:

1

2

(

1

3

+

1

2

)

=

1

2

(

2

6

+

3

6

)

=

1

2

(

5

6

)

=

5

12

Answer 2

Answer:

1/2(3/4÷2/3)

1/2(3/4×3/2)

1/2(9/8)

1/2×9/8

9/16