Question

What is the value of 3 1/3 divided by 2/3

Answer 1

5

Explanation:

Conversion a mixed number
`3(1)/(3)` to an improper fraction:
`3(1)/(3)` =
`3(1)/(3)`

= 3×3+
`(1)/(3)`

= 9+
`(1)/(3)`

=
`(10)/(3)`

To find a new numerator:

a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3÷3/3

=
`(9)/(3)`

b) Add the answer from the previous step 9 to the numerator 1. New numerator is 9 + 1 = 10

c) Write a previous answer (new numerator 10) over the denominator 3.

3 and 1 third is 10 thirds.

Divide: 10/3 : 2/3

= 10/3 × 3/2

= 10 × 3/3 × 2

=
`(30)/(6)`

= 6 × 5/6 × 1

= 5

Dividing 2 fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of
`(3)/(2)` is
`(3)/(2)`) of the second fraction. Next, multiply the 2 numerators. Then, multiply the 2 denominators. In the following intermediate step, cancel by a common factor of 6 gives
`(5)/(1)`.

In other words - 10 thirds divided by 2 thirds is 5.

Answer 2

the answer would be 4 1/2