Question

Which of the following ratios is the greatest?
2:3,4/5:1,3/2:2
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Answer 1

Answer:

2:2

Step-by-step explanation:

a

(a)= 2/3 = 0.66

(b)= 4/5=0.80

(c)= 1/3 = 0.33

(d)= 2/2= 1

Hence 2:2 is the greatest ratio

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Answer 2

Answer:

 3  

2:2

Step-by-step explanation:

The given options are

1.  2:3
2.    4  

           5:1        (which is 5÷1, or just 5)

    3.    3  

           2:2       (which is 2÷2, or 1)

The greatest ratio can also be called as the greatest fraction. So to get the answer, we compare the fractions, finding the LCM if they are unlike fractions.

∴   1.  2:3 = 2

                  3

2.  4:5 = 4

             5                        (the LCM of 3 and 5 = 15)

3.  3:1 = 3 = 3

             1

Converting the fractions 2 and 4 and 3 into like fractions by multiplying by their

                                         3        5

LCM, 15.  We get 10, 12  and 45 respectively. We know that 45 is greater

                            15   15         15                                                 15

than both 12 and 10.

                15         15

Therefore, the correct answer is  3   (or 36).

                                                       2:2        15

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