Question

Write in ascending order 5/6, 3/9, 9/10, 2/5

Answer 1

Answer

3/9 < 2/5 < 5/6 < 9/10

Step-by-step explanation:

To compare fractions, we need to make their denominator equal. To do so we need to find out the LCM of the denominator. Prime Factorizations of 6, 9, 10, 5 are

6 = 2 x 3

9 = 3 x 3

10 = 2x 5

5 = 5

The LCM is 2 x 3x3x5 = 90

Now let us convert the fractions so that their denominator is 90

5/6 = 5*15/6*15 =75/90

3/9 = 3*10/9*10 = 30/90

9/10 = 9*9/10*9 = 81/90

2/5 = 2*18/5*18 = 36/90

Now by compairing their numerator, the fractons in ascending order are

30/90 < 36/90 < 75/90 < 81/90

or 3/9 < 2/5 < 5/6 < 9/10