Question

Put the following in ascending order​

Answer 1

1/3 , 2/5 , 7/15 , 1/2 , 2/3 , 9/10

Explanation:

take the LCM of all the denominator

then multiply the fractions with such a number that makes the denominator the LCM

LCM of the denominators is 30

so, 7/15*2/2=14/30

same way, 2/5*6/6=12/30

1/3*10/10=10/30

1/2*15/15=15/30

9/10*3/3=27/30

2/3*10/10=20/30

now arrange them in ascending order

12/30 , 14/30 , 15/30 , 20/30 , 27/30

i.e. 1/3 , 2/5 , 7/15 , 1/2 , 2/3 , 9/10

Answer 2

see explanation

Explanation:

To be able to compare the fractions we require them to have a common denominator.

The lowest common denominator of

15, 5, 3, 2, 10, 3 is 30

Multiply the numerator/denominator of each fraction by the required value which makes the denominator 30.

denominator 15, multiply by 2

denominator 5, multiply by 6

denominator 3, multiply by 10

denominator 2, multiply by 15

denominator 10, multiply by 3

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`(7)/(15)` =
`(7(2))/(15(2))` =
`(14)/(30)`

`(2)/(5)` =
`(2(6))/(5(6))` =
`(12)/(30)`

`(1)/(3)` =
`(1(10))/(3(10))` =
`(10)/(30)`

`(1)/(2)` =
`(1(15))/(2(15))` =
`(15)/(30)`

`(9)/(10)` =
`(9(3))/(10(3))` =
`(27)/(30)`

`(2)/(3)` =
`(2(10))/(3(10))` =
`(20)/(30)`

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Placing these in ascending order ( smallest to largest )

`(10)/(30)`,
`(12)/(30)`,
`(14)/(30)`,
`(15)/(30)`,
`(20)/(30)`,
`(27)/(30)`

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Listing the actual fractions corresponding to the equivalent fractions

`(1)/(3)`,
`(2)/(5)`,
`(7)/(15)`,
`(1)/(2)`,
`(2)/(3)`,
`(9)/(10)`