Question

14. Compare 4/5 and 5/6
(2 Points)
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Answer 1

Answer:

Solution:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

use the same steps

Therefore, 4 : 5 > 2 : 3.

Answer 2

Step-by-step explanation:

4/5 = 4×6/5×6 = 24/30

5/6 = 5×5/5×6 = 25/30

24/30 < 25/30

4/5 < 5/6