SOLUTION: Add: 1/3 + 5/12 + 4/5

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Question 38596: Add:
1/3 + 5/12 + 4/5
Found 3 solutions by lyra, hellyeah, rapaljer:
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
To add you need to find a common denominator. In this case it is 60. 20%2F60%2B25%2F60%2B48%2F60=93%2F60=31%2F20
Hope this helps and feel free to contact me with further questions,
lyra
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YOUR ANSWER


  • Graphical form: %281%2F3%29%2B%285%2F12%29%2B%284%2F5%29 simplifies to 31%2F20
  • Text form: (1/3)+(5/12)+(4/5) simplifies to 31/20
  • Cartoon (animation) form: simplify_cartoon%28+%281%2F3%29%2B%285%2F12%29%2B%284%2F5%29+%29
    For tutors: simplify_cartoon( (1/3)+(5/12)+(4/5) )
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DETAILED EXPLANATION

Look at highlight_red%28+%281%2F3%29+%29%2B%285%2F12%29%2B%284%2F5%29.
Remove unneeded parentheses around terms highlight_red%28+1%2F3+%29
It becomes highlight_green%28+1%2F3+%29%2B%285%2F12%29%2B%284%2F5%29.
Look at 1%2F3%2Bhighlight_red%28+%285%2F12%29+%29%2B%284%2F5%29.
Remove unneeded parentheses around terms highlight_red%28+5%2F12+%29
It becomes 1%2F3%2Bhighlight_green%28+5%2F12+%29%2B%284%2F5%29.
Look at 1%2F3%2B5%2F12%2Bhighlight_red%28+%284%2F5%29+%29.
Remove unneeded parentheses around terms highlight_red%28+4%2F5+%29
It becomes 1%2F3%2B5%2F12%2Bhighlight_green%28+4%2F5+%29.
Look at highlight_red%28+1%2F3+%29%2Bhighlight_red%28+5%2F12+%29%2Bhighlight_red%28+4%2F5+%29.
Added fractions or integers together
It becomes highlight_green%28+93%2F60+%29.
Look at highlight_red%28+93+%29%2Fhighlight_red%28+60+%29.
Factors 93 and 60 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+31+%29%2Fhighlight_green%28+20+%29.
Result: 31%2F20

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Done!

Answer by hellyeah(21) About Me  (Show Source):
You can put this solution on YOUR website!
First Find a comon denonator. Which would be 60. so you now have: 20/60 + 25/60 + 48/60. Then We add. 93/60 is the answer. In lowsest terms it would be 1 11/20

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
In order to ADD fractions, you must have a common denominator. This means a number that each of the denominators divides evenly into. You need to find a number that 3, 12, and 5 all divide evenly. One way to do this is to take MULTIPLES of the largest number, which is 12, and keep going until you find a number that can be also divided by 3 and 5. This means start with 12, 24, 36, 48, 60, etc. Did you see that 60 can be divided by 3 and 5?

Now, you need to change each fraction 1/3, 5/12, and 4/5 into fractions whose denominator is 60. To do this, the denominator 3 must be multiplied by 20, the denominator 12 must be multiplied by 5, and the denominator 5 must be multiplied by 12. It looks like this:

1%2F3+%2B+5%2F12+%2B+4%2F5
%281%2F3%29%2A%2820%2F20%29+%2B+%285%2F12%29%2A%285%2F5%29+%2B+%284%2F5%29%2A%2812%2F12%29+

What this means is that you have:
20%2F60+%2B+25%2F60+%2B+48%2F60+

Now add up all these numerators, and put the answer over the common denominator which is 60:
+%2820%2B25%2B48%29%2F60
93%2F60

The fraction reduces since you can divide both 93 and 60 by 3:
31%2F20
This is an improper fraction, which is actually preferred in higher math, but in lower math they might want a mixed fraction. You may want to write this as
1+ 11%2F20

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