Just for the helluva it, could someone please post the method of adding 1/3 and 1/4??????
"Just for the helluva it, could someone please post the method of adding 1/3 and 1/4??????"
Figure out what you could use for a "common denominator." In this case, multiplying each until they become 12 works. So, you multiply 1/3 times four to get 3/12. And you multiply 1/4 times three to get 3/12. Your new problem (same as the old one...) is 4/12 plus 3/12= 7/12
You have to find the nearest number common to both. That is determined by multiplying the 3 by the 4 to get 12. Thus 1/3rd of 12 is 4, and 1/4th of 12 is 3. Add the 4 and the 3 and you get 7 12/ths.
1/4 = 1/4 x 3/3 = 3/12
4/12 + 3/12 = 7/12
"Yo Pro..
Try that one with 2/3 + 1/7"
2) convert each fraction to 12ths. here, 1/3 is converted by dividing its denominator into 12 (quotient=4), then multiplying both the numerator and denominator by 4, thus 4/12ths. for 1/4, divide 4 into 12 (quotient=3), then multiply top and bottom by 3, thus 3/12ths.
3) 4/12 + 3/12 = ???
That's the whole ball game.
"Just for the helluva it, could someone please post the method of adding 1/3 and 1/4??????"
Here ya go.
| ADDING FRACTIONS | PROOF | |||||||||||||||||||||
| Numerator (on top) | A | + | C | A | + | C | + | E | A | + | C | |||||||||||
| Denominator (on bottom) | B | D | B | D | F | B | D | |||||||||||||||
| 1 | + | 1 | 1 | + | 1 | + | 4 | 7 | + | 4 | ||||||||||||
| 3 | 4 | 3 | 4 | 7 | 12 | 7 | ||||||||||||||||
| Multipy EACH Numerator times the Denominator of all OTHER fractions. Add the results (this is the NEW Numerator) |
(AxD) + (CxB) | (AxDxF) + (CxBxF) + (ExBxD) | (AxD) + (CxB) | |||||||||||||||||||
| 1 | x | 4 | = | 4 | 1 | x | 4 | x | 7 | = | 28 | 7 | x | 7 | = | 49 | ||||||
| 1 | x | 3 | = | 3 | 1 | x | 3 | x | 7 | = | 21 | 4 | x | 12 | = | 48 | ||||||
| 7 | 4 | x | 3 | x | 4 | = | 48 | 97 | ||||||||||||||
| 97 | ||||||||||||||||||||||
| Multipy the Denominators of all fractions. | BxD | BxDxF | BxD | |||||||||||||||||||
| The result is the NEW Denominator. | 3 | x | 4 | = | 12 | 3 | x | 4 | x | 7 | = | 84 | 12 | x | 7 | = | 84 | |||||
| Write the above results as a fraction. | 1 | + | 1 | = | 7 | 1 | + | 1 | + | 7 | = | 97 | 7 | + | 4 | = | 97 | |||||
| 3 | 4 | 12 | 3 | 4 | 12 | 84 | 12 | 7 | 84 | |||||||||||||
| Reduce it to it's lowest common denominator. | = | 7 | = | 1 | 13 | = | 1 | 13 | ||||||||||||||
| 12 | 84 | 84 | ||||||||||||||||||||
METHOD 1: (Hardest)
Do it in your head with common denominators and all that stuff but, to remember how to do that, you first need to have a 1960's flashback.
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METHOD 2: (Easier)
Start Button on your Windows tool bar.
All Programs
Accessories
Calculator
3
1/x
=
M+
4
1/x
=
M+
MR
Look in the white area for the answer
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METHOD 3: (Easiest)
Call C.P.A.
Tell him you need 1/3 and 1/4 added up and to have his people call your people with the answer.
Many carpenters have a calculator that does fraction operations. But, they have to do it longhand for their apprentice test. They can also do squareroots longhand. Find a carpenter and ask him or her.