Question

a. ⅓ of reciprocal of ⅔​

Answer 1

Step-by-step explanation:

We first rewrite the given mixed fraction 2

3

1

as

3

7

.

We know that the reciprocal of a number is 1 divided by that number. For example, the reciprocal of a is

a

1

Now, we find the reciprocal of

3

7

as follows:

3

7

1

=

7

3

⎩

⎪

⎪

⎨

⎪

⎪

⎧

∵

x

1

1

=

1

x

⎭

⎪

⎪

⎬

⎪

⎪

⎫

Hence, the reciprocal of 2

3

1

is

7

3