Question

The bigger one among the following -4/9, -5/12, -7/18, -2/3​

Answer 1

Answer:

steps in 1st attachment

answer in second

LCM in third

Step-by-step explanation:

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Answer 2

Answer:

$\frac{-7}{18}$

Step-by-step explanation:

$\frac{-4}{9} , \frac{-5}{12} , \frac{-7}{18} , \frac{-2}{3}$

In order to find the bigger one among the following we must:-

( 1 ) Find The LCM Of The Denominators

3 | 9, 12, 18, 3  

3 | 3, 4, 6, 1    

2 | 1, 4, 2, 1    

2 | 1, 2, 1, 1      

   | 1, 1, 1, 1      

3 x 3 x 2 x 2 = 36

( 2 ) We Change the Denominators to 36 By Multiplying With a Particular Number For Both Numerator And Denominator As Shown Below....

-4  x 4      

9  x 4     =  $\frac{-16}{36}$

-5  x 3

12  x 3      = $\frac{-15}{36}$

-7   x 2

18  x 2      = $\frac{-14}{36}$

-2  x 12

3  x 12     = $\frac{-24}{36}$

( 3 ) Check Which Numerator Is Bigger..

$\frac{-16}{36}, \frac{-15}{36}, \frac{-14}{36}, \frac{-24}{36}$

As, all the numerators are negative the smallest number is considered as the biggest among the 4 numbers that is:-

$\frac{-14}{36}$

∴ The biggest among the numbers is $\frac{-7}{18}$

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