Question

What is two-thirds of 3 and3/4

Answer 1

`(5)/(2)` or
`2(1)/(2)` or 2.5

Explanation:

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

Convert
`3(3)/(4)` to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

`3(3)/(4)=(3*4+3)/(4) =(12+3)/(4) =(15)/(4)`

Now work it out.

`(2)/(3)*(15)/(4)=(30)/(12)=(15)/(6)=(5)/(2)`

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

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1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

`2(1)/(2)`

Answer 2

2.5

Explanation:

2/3 *(3+3/4)=2.5