SOLUTION: The question is 6-4 1/5 they got 6=5 5/5 4 1/5 they got answer 1 4/5 My question is how did they get 6 to equal 5 5/5? The other

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The question is 6-4 1/5 they got 6=5 5/5 4 1/5 they got answer 1 4/5 My question is how did they get 6 to equal 5 5/5? The other       Log On


   



Question 823840: The question is
6-4 1/5 they got 6=5 5/5
4 1/5 they got answer 1 4/5
My question is how did they get 6 to equal 5 5/5? The other one is 3-2 1/3 how do you turn 3 into a fraction?

Found 3 solutions by rfer, stanbon, KMST:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
the fraction 5/5 is the same value as 1, because 5 divided by 5 equals 1.
the other way to do this problem is to use improper fractions.
30/5-21/5=9/5
9/5 reduced equals 1 4/5.
----------------
3-2 1/3
2 3/3-2 1/3=2/3
or
9/3-7/3=2/3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The question is
6-4 1/5 they got 6=5 5/5
----
= 5+1 - 4 1/5
----
= 5-4 + 1-1/5
----
= 1 + 4/5
= 1 4/5
-------------------
The other one is 3-2 1/3 how do you turn 3 into a fraction?
-----
3 - 2 1/3
---=
(9/3)-(7/3)
----
= 2/3
============================
Cheers,
Stan H.
============================

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
That is a very convenient way of doing those calculations, but I would say that the way the numbers like 5%265%2F5 are written is unusual.

6=5%2B1 and since 1=5%2F5
6=5%2B5%2F5 .
Everyone writes 5%2B2%2F5 as 5%262%2F5 ,
but I had never seen
5%2B5%2F5 written as 5%265%2F5 .
I would not call it wrong, but it is unusual.
That said, to subtract 4%261%2F5=4%2B1%2F5 from 6=5%2B5%2F5 ,
you could subtract the 4 from the 5 to get 6-5=1 ,
and the 1%2F5 from the 5%2F5 to get 5%2F5-1%2F5=4%2F5 .

3=2%2B1=2%2B3%2F3
If someone writes 2%2B3%2F3 as 2%263%2F3 , I will think it is weird,
but I will not complain.
So the same person will probably write
3-2%261%2F3=2%263%2F3-2%261%2F3=0%262%2F3=2%2F3
One 2 is subtracted from the other,
and the 1%2F3 is subtracted from the 3%2F3 .

The way shown above is the way I do the calculations when I have to do them in my head.
The way I was taught to do that kind of calculation is harder.
The teacher would make us transform the both numbers into fractions with the same denominator.
Then we would subtract.
After that we would transform the fraction back into a mixed number if necessary.
So we would write
6-4%261%2F5=30%2F5-21%2F5=9%2F5=4%261%2F5
We were expected to transform in our heads, and sometimes we would make mistakes.
In our heads we had to do the following:
6=6%2A5%2F5=30%2F5 , 4%261%2F5=4%2B1%2F5=4%2A5%2F5%2B1%2F5=%284%2A5%2B1%29%2F5=%2820%2B1%29%2F5=21=5 , and
9%2F5=%285%2B4%29%2F5=5%2F5%2B4%2F5=1%2B4%2F5=1%264%2F5