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ICSE Class 7 Answered

begin mathsize 12px style space Arrange space the space following space fractions space 5 over 6 comma 8 over 9 comma space 2 over 3 space in space ascending space order. end style
Asked by Topperlearning User | 19 Sep, 2016, 08:52: AM
answered-by-expert Expert Answer

First we find the L.C.M. of the denominators of the fractions to make the denominators same.

L.C.M. = 3 × 2 × 3 × 1 = 18

Now to make the fraction as like fractions divide the L.C.M. by the denominator of fractions, then multiply both the numerator and denominator of fraction with the number get after dividing L.C.M.

As in fraction  denominator is 6.

Divide 18 ÷ 6 = 3

Now, multiply both numerator and denominator by 3 = 5 × size 12px 3 over size 12px 6× 3 =size 12px 15 over size 12px 18

begin mathsize 12px style Similarly comma space 8 over 9 equals 8 cross times 2 over 9 cross times space 2 equals 16 over 18 end style (because 18 ÷ 9 = 2)

begin mathsize 12px style and space 2 over 3 equals 2 cross times 6 over 3 cross times 6 equals 12 over 18 end style (because 18 ÷ 3 = 6)

Now, we compare the like fractions begin mathsize 12px style 15 over 18 comma space 16 over 18 space and space 12 over 18 end style

Comparing numerators, we find that 16 > 15 > 12

begin mathsize 12px style rightwards double arrow 16 over 18 greater than 15 over 18 greater than space 12 over 18 end style

begin mathsize 12px style rightwards double arrow 8 over 9 greater than 5 over 6 greater than space 2 over 3 end style

begin mathsize 12px style rightwards double arrow 2 over 3 less than 5 over 6 less than space 8 over 9 end style

The ascending order of the fractions is begin mathsize 12px style 2 over 3 comma 5 over 6 space and space 8 over 9. end style


Answered by | 19 Sep, 2016, 10:52: AM
ICSE 7 - Maths
Asked by chanchalsharma048 | 25 May, 2019, 06:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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