Arrange the following fraction in descending order 4/9,8/3,7/24
Answers
Answer:
Arrange the following fractions 5/6, 7/10, 11/20 in descending order.
First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. of 6, 10 and 20
L.C.M. of 6, 10 and 20 = 2 × 5 × 3 × 1 × 2 = 60
5/6 = 5 × 10/6 × 10 = 50/60 (because 60 ÷ 6 = 10)
7/10 = 7 × 6/10 × 6 = 42/60 (because 60 ÷ 10 = 6)
11/20 = 11 × 3/20 × 3 = 33/60 (because 60 ÷ 20 = 3
Now we compare the like fractions 50/60, 42/60 and 33/60
Comparing numerators, we find that 50 > 42 > 33.
Therefore, 50/60 > 42/60 > 33/60 or 5/6 > 7/10 > 11/20
The descending order of the fractions is 5/6, 7/10, 11/20.
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Answer:
8/3 > 4/9 > 7/24
Step-by-step explanation:
Given Fractions: 4/9, 8/3, 7/24
To do this, first we make the denominators equal.
To make the denominators equal, we need to find their L.C.M.
L.C.M of 9, 3 and 24 = 72
Now,
We multiply 9 by 8 to get 72.
We multiply 3 by 24 to get 72.
We multiply 24 by 3 to get 72.
- We know that we have to multiply the numerator also by the same number by which the denominator is multiplied in order to make the fraction equivalent.
So,
1.) In the fraction 4/9, the denominator 9 is multiplied by 8.
So, numerator 4 is also multiplied by 8, and we get,
4 × 8 = 32
∴ 4/9 = 32/72
2.) In the fraction 8/3, the denominator 3 is multiplied by 24.
So, numerator 8 is also multiplied by 24, and we get,
8 × 24 = 192
∴ 8/3 = 192/72
3.) In the fraction 7/24, the denominator 24 is multiplied by 3.
So, numerator 7 is also multiplied by 3, and we get,
7 × 3 = 21
∴ 7/24 = 21/72
So now, we have the 3 fractions with same denominators: 32/72, 192/72, 21/72
- We know that if the denominators are same. then the fraction having the greater numerator is greater.
The numerators are 32, 192 and 21
So, in descending order, the numerators are:
192 > 32 > 21
So, we have,
192/72 > 32/72 > 21/72
∴ The fractions in descending order are:
8/3 > 4/9 > 7/24
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