Arrange the following fraction in ascending order. 5/6 ,7/8 , 3/4 , 4/9 , 1/3 brainly
Answers
1/3 < 4/9 < 3/4 < 5/6 < 7/8 (Smallest value to biggest)
Step-by-step explanation:
There are two ways to apporoach this problem:
- Multiplying all the fraction denominator values with the LCM of all the denominators (to make sure each fraction has the same denominator).
- Dividing the fraction to its corresponding decimal number.
APPROACH 1
We make sure that the denominators have the same value and arrange the fractions according to the numerator values.
1. We first find the LCM of all the denominators: 6, 8, 4, 9, 3
LCM (6, 8, 4, 9, 3) = 72
2. We then divide the LCM of the denominators with each denominator to find the quotient.
72/6 = 12
72/8 = 9
72/4 = 18
72/9 = 8
72/3 = 24
3. Now, we multiply the numerator and denominator with the corresponding quotient found above. We get:
(5*12) / (6*12) = 60/72
(7*9) / (8*9) = 63/72
(3*18) / (4*18) = 54/72
(4*8) / (9*8) = 32/72
(1*24) / (3*24) = 24/72
Now, arranging the numerators in ascending order, we get:
24/72 < 32/72 < 54/72 < 60/72 < 63/72
or, 1/3 < 4/9 < 3/4 < 5/6 < 7/8
APPROACH 2
We convert each fraction to its corresponding decimal:
5/6 = 0.83
7/8 = 0.87
3/4 = 0.75
4/9 = 0.44
1/3 = 0.33
Now, arranging in ascending order, we get:
0.33 < 0.44 < 0.75 < 0.83 < 0.87
or, 1/3 < 4/9 < 3/4 < 5/6 < 7/8