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Solution
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Solution provided by AtoZmath.com
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Ascending and descending order of fractions calculator
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1. Arrange the fractions `1/2,3/4,5/6` in Ascending order
Solution:
Step-1 : Find the LCM of denominators
Here, LCM of 2, 4, 6 = 12
Step-2 : Convert each fractions into like fractions, So multiply numerator and denominator by the ratio of LCM and denominator of the fraction
For `1/2`, ratio of LCM and denominator is `12/2=6`. So multiply numerator and denominator by 6.
`1/2=1/2 xx 6/6=6/12`
For `3/4`, ratio of LCM and denominator is `12/4=3`. So multiply numerator and denominator by 3.
`3/4=3/4 xx 3/3=9/12`
For `5/6`, ratio of LCM and denominator is `12/6=2`. So multiply numerator and denominator by 2.
`5/6=5/6 xx 2/2=10/12`
Step-3 : Arrange fractions: If denominators are the same, then we can arrange the numerators.
Here 6 < 9 < 10
`:. 6/12 < 9/12 < 10/12 `
So, we conclude `1/2< 3/4< 5/6`
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