Understanding the Equivalences
Fractions | Term 3 Chapter 6
Understanding the equivalences of \( \frac{2}{4} \) and \( \frac{1}{2} \) and of \( \frac{2}{2}, \frac{3}{3}, \frac{4}{4} \) and 1
Four friends were walking in a sunny day. All became thirsty so they went to a fruit vendor and bought a watermelon. They sliced it into four equal parts and ate it. How they shared their parts with themselves:
(i)
Take a square sheet of paper and fold it into two equal parts. Colour one part of the paper.
Fraction of coloured portion = \( \frac{1}{2} \)
(ii)
Now observe keenly, the fraction of coloured portion = \( \frac{2}{4} \)
There is no change in the paper.
\( \frac{1}{2} = \frac{2}{4} \)
Two parts become four parts and the coloured one part changed into two parts.
Thus it represent both \( \frac{2}{4} \) and \( \frac{1}{2} \) are equal it is said to be equivalence.