- #1
JayKo
- 128
- 0
as below, my math is getting rusty, hope some can help me out.
thanks.
[tex]\frac{1}{1+\frac{1}{x}}[/tex]
thanks.
[tex]\frac{1}{1+\frac{1}{x}}[/tex]
The process for decomposing a fraction into a sum of 2 terms involves finding two numbers that have a common factor with the denominator of the fraction. These two numbers will then be used as the denominators for the two terms, while the numerator of the fraction is distributed between the two terms.
No, not all fractions can be decomposed into a sum of 2 terms. Only fractions that have a denominator that is divisible by a common factor can be decomposed in this way.
The two numbers for the denominators are chosen by finding a common factor with the denominator of the fraction. This common factor should be as small as possible in order to simplify the fraction.
Yes, when decomposing a fraction into a sum of 2 terms, the numerator should be distributed in a specific order. The larger of the two denominators should be used first, and then the remaining numerator should be distributed to the other term.
For example, let's decompose the fraction 5/15 into a sum of 2 terms. The common factor of 15 is 5, so we will use 5 and 3 as the denominators. The numerator of 5/15 is 5, so we will distribute 5 to the first term, making it 5/5. The remaining numerator of 0 will go to the second term, making it 0/3. Therefore, 5/15 can be decomposed into 5/5 + 0/3, which simplifies to 1 + 0, or simply 1.