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प्रश्न
In the pattern `1/3 + 1/4 + 1/5 +` ..... which fraction makes the sum greater than 1 (first time)? Explain.
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उत्तर
`1/3 + 1/4 + 1/5`
= `(20 + 15 + 12)/60`
= `47/60 < 1` ...[∵ Numerator < Denominator]
According to the pattern, next number will be `1/6`
∴ `1/3 + 1/4 + 1/5 + 1/6`
= `(40 + 30 + 24 + 20)/120`
= `114/120 < 1` ...[∵ Numerator < Denominator]
Now, according to the pattern, next number after `1/6` is `1/7`
∴ `1/3 + 1/4 + 1/5 + 1/6 + 1/7`
= `(280 + 210 + 168 + 140 + 120)/840`
= `918/840 > 1` ...[∵ Numerator > Denominator]
Hence, `1/7` makes the sum greater than 1 (first time).
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संबंधित प्रश्न
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Equal Parts of a Triangle
Now try to make three equal parts of this triangle in a different way. Colour each one third with a different colour.
Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.
`2/3 ☐ 2/4`
How quickly can you do this? Fill appropriate sign.
`6/10 ☐ 4/5`
How quickly can you do this? Fill appropriate sign.
`6/10 ☐ 3/5`
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Arrange in descending order:
`7/10`, `5/8`, `3/5`, `11/20`
