Question

Arrange the following fraction in ascending order. 5/6 ,7/8 , 3/4 , 4/9 , 1/3 brainly

Answer 1

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:

1. Multiplying all the fraction denominator values with the LCM of all the denominators (to make sure each fraction has the same denominator).
2. 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