Ex 2.2 Q1 Fractions-and-Decimals-Solutions NCERT Maths Class 7

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 Which of the drawing \((a) \) to \((d) \) show:

i) \(\begin{align}2 \times \frac{1}{5}\end{align}\) 

ii) \(\begin{align}2 \times \frac{1}{2}\end{align}\)

iii) \(\begin{align}3 \times \frac{2}{3}\end{align}\)

iv) \(\begin{align}3 \times \frac{1}{4}\end{align}\)

Text Solution

What is Known?

Fractions and Drawings

What is unknown?

Matching of fractions with shaded part of the drawings.


Matching can be easily done by comparing the fractions and shaded areas.


i)  \(\begin{align}2 \times \frac{1}{5}\end{align}\) matches with \((d)\) since two circles are divided in to five parts and one part of both the circles is shaded.

\[\begin{align} 2 \times \frac{1}{5} = \frac{1}{5} + \frac{1}{5} = \frac{2}{5} \end{align}\]

ii) \(\begin{align}2 \times \frac{1}{2}\end{align}\)matches with \((b)\) as one half of both the drawings is shaded.

\[\begin{align} 2 \times \frac{1}{2} = \frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1 \end{align}\]

iii) \(\begin{align}3 \times \frac{2}{3}\end{align}\)matches with \((a)\) since two third of the three circles is shaded.

\[\begin{align} 3 \times \frac{2}{3} = \frac{2}{3} + \frac{2}{3} + \frac{2}{3} = 3 \times \frac{2}{3} = 2 \end{align}\]

iv) \(\begin{align}3 \times \frac{1}{4}\end{align}\)matches with \((c)\) since one fourth of three squares is shaded.

\[\begin{align} 3 \times \frac{1}{4} = \frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{3}{4} \end{align}\]