(1+3 1/4) : (1 1/4 + 3 1/3)
Simplify as a ratio?
(1 1/4 + 3 1/3) = 1 3/12 + 3 4/12 = 4 7/12
4 1/4 = 4 3/12
4 3/12 : 4 7/12
Is there a way to simplify it in numbers completely?
To simplify the given expression as a ratio, we need to find a common denominator for all the fractions involved.
First, let's convert the mixed numbers to improper fractions:
(1 + 3 1/4) = 1 + 13/4
= 4/4 + 13/4
= 17/4
(1 1/4 + 3 1/3) = 1 + 1/4 + 3 + 1/3
= 4/4 + 1/4 + 3/1 + 1/3
= 5/4 + 12/4 + 1/3
= 17/4 + 12/4 + 1/3
Now, let's find a common denominator for 4 and 3, which is 12.
(17/4 + 12/4 + 1/3) = (17 + 12)/4 + 4/12
= 29/4 + 1/3(4/4) (Equivalent fractions)
= 29/4 + 1/3(1) (Multiplying 4/4)
= 29/4 + 1/3
To add these two fractions, we need a common denominator, which is 12.
(29/4 + 1/3) = (29/4)(3/3) + (1/3)(4/4)
= 87/12 + 4/12
= 91/12
Therefore, the simplified ratio of (1 + 3 1/4) : (1 1/4 + 3 1/3) is 91/12.