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Sharing and Measuring

Parts of a garden

Plan Idha's garden in fractions for five flowering plants.

In your book, Maths Mela (Chapter 5), Idha has seeds of 5 flowering plants: Rose, Mogra, Lily, Marigold and Jasmine. She divides her garden into 5 equal parts and plans one flower in each part. Each flower gets 1/5, one-fifth, of the garden.

But Idha has very few Lily seeds, so she plants Roses in two parts instead. Now Rose is in 1/5 and another 1/5 of the garden. We count the parts: 2 parts out of 5 equal parts. That is 2/5, two-fifths. So 1/5 + 1/5 = 2/5. Mogra, Marigold and Jasmine are still in 1/5 each.

If Rose takes 3 parts, it fills 1/5 + 1/5 + 1/5 = 3/5 of the garden. With 4 parts it fills 4/5. And if Rose is in all 5 parts, it fills 5/5: the complete garden. 5/5 is one whole.

The top number tells how many parts we count; the bottom number tells how many equal parts make the whole. In a garden of 7 equal parts, each part is 1/7. Marigold in 1/7, Rose in 3/7 and Hibiscus in 3/7 fill all 7 parts: 1 + 3 + 3 = 7, so the garden is full.

Count the equal parts: 2 parts out of 5 equal parts is 2/5, and all 5 parts (5/5) make the whole garden.

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