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)   (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.
Hope this helps and feel free to contact me with further questions,
lyra
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  • Graphical form: simplifies to
  • Text form: (1/3)+(5/12)+(4/5) simplifies to 31/20
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (1/3)+(5/12)+(4/5) )
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DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around terms highlight_red%28+1%2F3+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+5%2F12+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+4%2F5+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Factors 93 and 60 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .
Result:

Universal Simplifier and Solver


Done!


Answer by hellyeah(21)   (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)   (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:




What this means is that you have:


Now add up all these numerators, and put the answer over the common denominator which is 60:



The fraction reduces since you can divide both 93 and 60 by 3:

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


R^2 at SCC

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