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Renu completed 23 part of her home work in 2 hours. How much part of her home work had she completed in 114 hours? - Mathematics

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Question

Renu completed `2/3` part of her home work in 2 hours. How much part of her home work had she completed in `1 1/4` hours?

Sum

Solution

From the question, it is given that,

Renu completed the `2/3` part of her homework in 2 hours.

Let us assume the total part of the homework is ‘P’.

Then,

`2/3` of P = 2

`2/3` × P = 2

By cross multiplication we get,

P = 2 × `3/2`

P = 3 homework

So, part of her homework she had completed in `1 1/4` hours i.e. `5/4` hours

Let us assume part of the homework she had completed in `5/4` hours be = Q

Then,

Q of 3 = `5/4`

Q × 3 = `5/4`

By cross multiplication we get,

Q = `5/4 × 1/3`

Q = `5/12`

Therefore, Renu completed the `5/12` part of her homework in `5/4` hours.

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Chapter 2: Fractions and Decimals - Exercise [Page 44]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 2 Fractions and Decimals
Exercise | Q 60. | Page 44
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