Question

Choose the fraction that goes in the blank.

6/10 >_______> 1/3
a- 1/2
b- 1/4
c- 2/3
d- 3/4

Answer 1

The correct answer between all the choices given is the first choice or letter A, which is 1/2. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

The answer is the option a

`(1)/(2)`

Explanation:

we have

`(6)/(10)> (\ ) > (1)/(3)`

we know that

In order to compare fractions of different denominator, we are going to multiply each of the fractions by a unit fraction, to obtain a common denominator

Multiply
`(6)/(10)` by
`(6)/(6)`

`(6/6)*(6)/(10)=(36)/(60)`

Multiply
`(1)/(3)` by
`(20)/(20)`

`(20/20)*(1)/(3)=(20)/(60)`

Verify each case

case a) we have
`(1)/(2)`

Multiply
`(1)/(2)` by
`(30)/(30)`

`(30/30)*(1)/(2)=(30)/(60)`

substitute in the expression

`(36)/(60)> (30)/(60) > (20)/(60)` ------> is true

The fraction
`(1)/(2)` is a solution

case b) we have
`(1)/(4)`

Multiply
`(1)/(4)` by
`(15)/(15)`

`(15/15)*(1)/(4)=(15)/(60)`

substitute in the expression

`(36)/(60)> (15)/(60) > (20)/(60)` ------> is not true

The fraction
`(1)/(4)` is not a solution

case c) we have
`(2)/(3)`

Multiply
`(2)/(3)` by
`(20)/(20)`

`(20/20)*(2)/(3)=(40)/(60)`

substitute in the expression

`(36)/(60)> (40)/(60) > (20)/(60)` ------> is not true

The fraction
`(2)/(3)` is not a solution

case d) we have
`(3)/(4)`

Multiply
`(3)/(4)` by
`(15)/(15)`

`(15/15)*(3)/(4)=(45)/(60)`

substitute in the expression

`(36)/(60)> (45)/(60) > (20)/(60)` ------> is not true

The fraction
`(3)/(4)` is not a solution