Write these fractions appropriately as additions or subtractions :
(a)

(b)

(c)
"

AcademicMathematicsNCERTClass 6

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,

$\frac{2}{6}+\frac{3}{6}=\frac{5}{6}$

raja
Updated on 10-Oct-2022 13:33:00

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