Respuesta :
Answer:
We can decompose a function into sum of fractions as well.
" Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation " .
Ж Now first we will write an expression for \dfrac{3}{8}[/tex]
- [tex]\dfrac{3}{8}=\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]
- [tex]\dfrac{3}{8}=\dfrac{1}{8}+\dfrac{2}{8}[/tex]
Ж Now the decomposition of 1 is given as:
- [tex]1=\dfrac{1}{2}+\dfrac{1}{2}[/tex]
- [tex]1=\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}[/tex]
- [tex]1=\dfrac{2}{4}+\dfrac{1}{4}+\dfrac{1}{4}[/tex]
And in many more ways we can decompose these numbers.
The decomposed form of the fraction 1⅜ is;
(8/8) + ⅛ + ⅛ + ⅛
We are told to decompose the fraction 1⅜.
Now, to decompose a fraction simply means to split up the fraction into smaller parts.
Now, 1 can also be written as 8/8. Thus;
1⅜ = 8/8 + ⅜
Also,⅜ can be written as;
⅜ = ⅛ + ⅛ + ⅛.
Finally, the decomposed form of the fraction 1⅜ can be written as;
the fraction 1⅜ = (8/8) + ⅛ + ⅛ + ⅛
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