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3 votes
Naitik exercised for

2/3 hours ,while Aryan exercised for
3/4
hours.Who
exercised for a longer time? step by step answer​

User Teylyn
by
7.4k points

1 Answer

3 votes

Answer: Aryan spent more time exercising.

=======================================================

Step-by-step explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

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We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

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Notes:

  • 2/3 hours = (2/3)*60 = 40 minutes
  • 3/4 hours = (3/4)*60 = 45 minutes
  • 45-40 = 5 extra minutes of exercise
User Vilda
by
6.7k points