Question

What is 1 3/4 x 2 2/3?

A. 2 1/2

B. 3 5/12

C. 4 2 / 3

D. 4 6 /7

Answer 1

`4(2)/(3)`

Explanation:

`1(3)/(4) *2(2)/(3)`

First, make fractions as improper fractions.

`(7)/(4) *(8)/(3)`

Now multiply the answers.

`(56)/(12)`

Now make the answer a mixed number.

`4(8)/(12)`

To write the answer in its simplest form, divide the numerator and denominator by 4.

`4(2)/(3)`

Answer 2

4 2/3

Explanation:

1 3/4 x 2 2/3

We need to change the mixed numbers to improper fractions

1 3/4 = ( 4*1+3) /4 = 7/4

2 2/3 = ( 3*2 +2) /3 = 8/3

7/4 * 8/3

Rewriting

7/3 * 8/4

Simplify

7/3 *2

14/3

Make this a mixed number

4 goes into 14 4 times with 2 left over

4 2/3