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Write these fractions appropriately as additions or subtractions :
(a)
(b)
(c)
"
To do:
We have to write the given fractions appropriately as additions or subtractions.
Solution:
(a) In the given figure,
Total number of parts each rectangle has $= 5$
Number of parts shaded in the first rectangle $= 1$
Fraction shaded in the first rectangle $=\frac{1}{5}$
Number of parts shaded in the second rectangle $= 2$
Fraction shaded in the second rectangle $=\frac{2}{5}$
Number of parts shaded in the third rectangle $= 3$
Fraction shaded in the third rectangle $=\frac{3}{5}$
We can observe that,
The fraction represented by third rectangle $=$ Sum of the fractions represented by first and second rectangle
Therefore,
$\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$
(b) In the given figure,
Total number of parts each circle has $= 5$
Number of parts shaded in the first circle $= 5$
Fraction shaded in the first circle $=\frac{5}{5}$
Number of parts shaded in the second circle $= 3$
Fraction shaded in the second circle $=\frac{3}{5}$
Number of parts shaded in the third circle $= 2$
Fraction shaded in the third circle $=\frac{2}{5}$
We can observe that,
The fraction represented by third circle $=$ Difference of the fractions represented by first and second circles.
Therefore,
$\frac{5}{5}-\frac{3}{5}=\frac{2}{5}$
(c) In the given figure,
Total number of parts each rectangle has $= 6$
Number of parts shaded in the first rectangle $= 2$
Fraction shaded in the first rectangle $=\frac{2}{6}$
Number of parts shaded in the second rectangle $= 3$
Fraction shaded in the second rectangle $=\frac{3}{6}$
Number of parts shaded in the third rectangle $= 5$
Fraction shaded in the third rectangle $=\frac{5}{6}$
We can observe that,
The fraction represented by third rectangle $=$ Sum of the fractions represented by first and second rectangle
Therefore,
$\frac{2}{6}+\frac{3}{6}=\frac{5}{6}$
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