Question

rafiq exercise for 2-3 hour while Rohit exercise for 3 by 4 hour who exercise for a longer time? please give the answer buy brief explanation​

Answer 1

answer.

Time Rafiq exercised=

6

3

hours

Time Rohit exercised=

4

3

hours

Comparing

6

3

and

4

3

Since the denominators are different, we have

Common denominator=LCM of 6 and 4

Factors of 6=2×3

Factors of 4=2×2

L.C.M=2×2×3=12

So,

6

3

=

6

3

×

2

2

=

12

6

4

3

=

4

3

×

3

3

=

12

9

Now,

12

6

<

12

9

6

3

<

4

3

Hence, Rohit exercised for a longer time.

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Answer 2

SOLUTION :-

Rafiq exercised for $\large \frac{3}{6}$ hours.

And, Rohit excercised for $\large \frac{3}{4}$ hours.

Now, $\large \frac{3}{6} = \frac{3 × 2}{6 × 2} = \frac{6}{12}$

and, $\large \frac{3}{4} = \frac{3 × 3}{4 × 3} = \frac{9}{12}$

$\large \: \: \frac{9}{12} > \frac{6}{12} \: i.e, \: \frac{3}{4} > \frac{3}{6}$

Thus, Rohit excercised for a longer time.