Question

what is ascending order for 2/3 3/5 5/6 7/10 11/15 19/30

Answer 1

Answer:

2/2, 3/5, 5/6, 7/10, 11/15,19/30.

This is ascending order.

Answer 2

Answer:

3/5 < 19/30 < 2/3 < 7/10 < 11/15 < 5/6

Step-by-step explanation:

The prime factorization of the denominators:

15 = 3 × 5;

5 is a prime number;

3 is a prime number;

30 = 2 × 3 × 5;

10 = 2 × 5;

6 = 2 × 3;

LCM (15, 5, 3, 30, 10, 6) = 2 × 3 × 5 = 30

For fraction: 11/15 is 30 ÷ 15 = (2 × 3 × 5) ÷ (3 × 5) = 2;

For fraction: 3/5 is 30 ÷ 5 = (2 × 3 × 5) ÷ 5 = 6;

For fraction: 2/3 is 30 ÷ 3 = (2 × 3 × 5) ÷ 3 = 10;

For fraction: 19/30 is 30 ÷ 30 = (2 × 3 × 5) ÷ (2 × 3 × 5) = 1;

For fraction: 7/10 is 30 ÷ 10 = (2 × 3 × 5) ÷ (2 × 5) = 3;

For fraction: 5/6 is 30 ÷ 6 = (2 × 3 × 5) ÷ (2 × 3) = 5;