write the fraction as a mixed number in simplest form
42/4 and 31/12
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jimthompson5910 (jim_thompson5910):
42/4 = (40+2)/4 = 40/4 + 2/4 = 10 + 1/2 = 10 1/2
So 42/4 = 10 1/2
I'll let you do the other one
jimthompson5910 (jim_thompson5910):
The key is to break up the numerator so that one of the pieces is a multiple of the denominator (as big as you can get)
OpenStudy (anonymous):
No! im going to be wronhe
OpenStudy (anonymous):
wrong*
OpenStudy (anonymous):
Hold on lemme try one more time :d
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jimthompson5910 (jim_thompson5910):
just give it a shot and show me what you get, if it's wrong, then I'll help you out with the second
OpenStudy (anonymous):
1 3/4?
jimthompson5910 (jim_thompson5910):
how did you get that?
OpenStudy (anonymous):
how many times can 7 go into 8 1 time with 3/4 left over
jimthompson5910 (jim_thompson5910):
the problem is 31/12 right?
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jimthompson5910 (jim_thompson5910):
If so, then
31/12 = (24 + 7)/12 = 24/12 + 7/12 = 2 + 7/12 = 2 7/12
This means that 31/12 = 2 7/12
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
oh.. :P sorry
jimthompson5910 (jim_thompson5910):
Alternative method: Using a calculator, 31/12 = 2.583333
So the whole part is 2 and the fractional part is 0.583333
Ignore the decimal fractional part
Since the whole part is 2, we know that 12*2 = 24 is less than 31
Now subtract this from 31 to get 31 - 24 = 7
This is the numerator that will go over the 12
So 31/12 = 2 7/12