Answer:
[tex]\frac{3}{4}=\frac{3}{4}+\frac{3}{4}+\frac{3}{4}[/tex]
Step-by-step Explanation:
As the given fraction
[tex]\frac{3}{4}[/tex]
We have to decompose the the expression [tex]\frac{3}{4}[/tex].
As
[tex]\frac{3}{4}[/tex]
Here, 3 is the numerator which is our top number, tells us how many pieces we are going to look at.
Please check the figure a, and observe the three shaded pieces. Our denominator which is the bottom number tells us the total number of pieces. So, if carefully observe the figure a. It is easy to determine that there are total four pieces 1, 2, 3 and 4. But, we are going to look at 3 shaded pieces only as we are dealing with 3/4.
We are going to decompose using unit fraction. What is unit fraction? If we just look at one piece, what would that be? It is one out of four i.e. 1/4. Because this is one out of one, two, three, and four. The second piece would also be 1/4, 3rd would also be 1/4.
Even fourth would also be 1/4. But, we are dealing with only 3 shaded pieces. So, we are going to label 3 pieces only.
So, lets decompose [tex]\frac{3}{4}[/tex] and write an expression for it.
As
[tex]\frac{3}{4}=\frac{3}{4}+\frac{3}{4}+\frac{3}{4}[/tex]
So, 1/4 + 1/4 + 1/4 are going to make an equal 3/4.
Hence, 3/4 is decomposed into 1/4 + 1/4 + 1/4.
Keywords: decomposition, unit fraction
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