Question

Write these fractions in ascending order.

5/8 3/4 1/2 9/16.

Answer 1

`(5)/(8)=(10)/(16)\\ (3)/(4)=(12)/(16)\\ (1)/(2)=(8)/(16)\\\\ \Downarrow\\\\ \boxed{(1)/(2)<(9)/(16)<(5)/(8)<(3)/(4)}`

Answer 2

`(5)/(8)=(5 * 2)/(8 * 2)=(10)/(16) \\ \\ (3)/(4)=(3 * 4)/(4 * 4)=(12)/(16) \\ \\ (1)/(2)=(1 * 8)/(2 * 8)=(8)/(16) \\ \\ (9)/(16) \\ \\ 8<9<10<12 \Rightarrow (8)/(16)<(9)/(16)<(10)/(16)<(12)/(16) \Rightarrow (1)/(2) < (9)/(16) < (5)/(8) < (3)/(4)`

In ascending order:

`\boxed{(1)/(2), (9)/(16), (5)/(8), (3)/(4)}`