What is the difference between 126 1/4 and 78 2/3?
Answer (3)
The **difference **between 126 1/4 and 78 2/3 is
Given,
126 1/4 and 78 2/3
Now,
Firstly convert the mixed **fraction **to simple fractions.
126 1/4 = [126* 4+ 1]/4
= 505/4
78 2/3 = [ 78*3 + 2 ]/ 3
= 236/3
So,
505/4 - 236/3
Make the **denominator **term same .
**LCM **of 4 , 3 = 12
= 1515 - 944/12
= 571 /12
Therefore **difference **is 571/12.
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First thing you have to find LCD ( lowest common denominator) 12 is the lowest one:
126 4 1 = 126 12 3
78 3 2 = 78 12 8
now its all about substraction:
126 12 3 − 78 12 8 = 47 12 7
so the difference is 47 12 7
or you can do it in a bit diffrent way
126 4 1 = 126 12 3 = 12 126 ∗ 12 + 3 = 12 1515
78 3 2 = 78 12 8 = 12 78 ∗ 12 + 8 = 12 944
substraction again:
12 1515 − 12 944 = 12 571 = 47 12 7
The difference between 126 1/4 and 78 2/3 is 47 7/12. To find this, both mixed numbers were converted to improper fractions, simplified with a common denominator, and then subtracted. The answer is 47 7/12 when converted back to a mixed number.
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