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Which set of fractions is ordered from least to greatest 5/8, 8/12, 3/4

User FarshidABZ
by
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1 Answer

3 votes

Answer:


(5)/(8) ,
(8)/(12) ,
(3)/(4)

Explanation:

we are given fractions as


(5)/(8) ,
(8)/(12) ,
(3)/(4)

Firstly, we will make denominators of all terms same

We can see that denominators are 8 , 12 , 4

Firstly, we will find LCD

LCD of 8,12,4=24

so, we will make all terms as same denominator


(5)/(8)

We will multiply top and bottom by 3


(5)/(8)=(3* 5)/(3* 8)


(5)/(8)=(15)/(24)


(8)/(12)

We will multiply top and bottom by 2


(8)/(12)=(2* 8)/(2* 12)


(8)/(12)=(16)/(24)


(3)/(4)

We will multiply top and bottom by 6


(3)/(4)=(6* 3)/(6* 4)


(3)/(4)=(18)/(24)

Since, denominators are same

so, we can compare numerators

15<16<18

so, order from least to greatest is


(5)/(8) ,
(8)/(12) ,
(3)/(4)


User Bornfree
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