Question

compare ½:⅓ and ¼:⅛​

Answer 1

Answer:

1/4 : 1/8 < 1/2 : 1/3

Step-by-step explanation:

Lets make these ratios into whole numbers first =

1) 1/2 : 1/3

LCM of 2 and 3 = 6

= 1/2 x 6 = 3

= 1/3 x 6 = 2

So, it becomes 2 : 3

2) 1/4 : 1/8

LCM of 4 and 8 = 8

= 1/4 x 8 = 2

= 1/8 x 8 = 1

So, it becomes 2 : 1

Now, lets compare 2 : 1 and 2 : 3

First turn them into fraction =

= 2 : 1 = 2/1

= 2 : 3 = 2/3

Find LCM of 1 and 3 to compare = 3

So, 2/1 x 3/3 = 6/3

and, 2/3 x 1/1 = 2/3

Now, 6/3 < 2/3

so, 2/1 < 2/3

so, 2 : 1 < 2 : 3

so, 1/4 : 1/8 < 1/2 : 1/3 (answer)

Answer 2

Answer:

1/4:1/8 is greater than 1/2:1/3

Step-by-step explanation:

1/2*3= 3/2 which is 1.5

1/4*1/8= 8/4 which is 2

Hence why