What must be added to this mixed fraction to produce this mixed fraction This may seem like a simp

Brody Collins

Brody Collins

Answered question

2022-05-13

What must be added to this mixed fraction to produce this mixed fraction
This may seem like a simple question which is fit for a Google search; however, I'm unable to find an answer.
What must be added to 6 3 5 to produce 3 5 6
I hope I'll finally understand. Step-by-step solution is much appreciated.

Answer & Explanation

Athena Blanchard

Athena Blanchard

Beginner2022-05-14Added 13 answers

Noting that 3 5 6 is less than 6 3 5 , it's clear that you'll have to add a negative. I would simply find the difference and put a negative out front
( 6 3 5 3 5 6 )
= ( 33 5 23 6 )
= ( 198 30 115 30 )
= ( 198 115 30 )
= ( 83 30 )
= 2 23 30
Or you could have gone straight to the subtraction
3 5 6 6 3 5
= 23 6 33 5
= 115 30 198 30
= 83 30
= 2 23 30
datomerki8a5yj

datomerki8a5yj

Beginner2022-05-15Added 5 answers

"What must be added to A to get B" means "B - A".
So you want 3 5 6 6 3 5
6 3 5 is larger than 3 5 6 so the answer will be negative.
First thing is to convert from mixed numbers to "improper" fractions by putting them over a common denominator.
3 5 6 = 3 + 5 6 = 3 6 6 + 5 6 = 18 6 + 5 6 = 18 + 5 6 = 23 6
6 3 5 = 6 5 5 + 3 5 = 30 5 + 3 5 = 33 5
So we need 23 6 33 5
We need to put them over a common denominator. We need to find the lowest common multiple of 5 and 6. That is 30 = 5 6
So 23 6 33 5 =
23 6 5 5 33 5 6 6 =
115 30 198 30 =
115 198 30
We do the subtraction knowing we will get a negative number.
115 198 30 = 198 115 30 = 83 30
For style points we should reduce to a "mixed number". So we divide by 30 and keep the remainder.
83 ÷ 30 = 2 with 23 remainder.
So 83 30 = 2 23 30
So 6 3 5 + ( 2 23 30 ) = 3 5 6

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