00:01
In this problem, we are given five fractions, which are 32 by 100, 6 by 36, 4 by 80, 7 by 56, and 15 by 75.
00:17
And we are required to convert this to the least common denominator.
00:21
So let's first simplify this fraction and write this in the simplest form.
00:27
So we see that the first fraction in this the numerator and denominator both are divisible by four so when we divide both of them with four we're gonna get 8 by 25 as the fraction in the simplest form similarly we get 1 by 6 as the fraction in the simplest form because the numerator and denominator both are divisible by 6 and here both are divisible by 4 so it would be 1 by 20 and here it's divisible by 7 so we divide each one of the numerator and denominator with seven to get 1 by 8 as the result.
01:00
And similarly, we do for the last fraction and we get 1 by 5 as the result.
01:05
And now if we observe each of these fractions and the denominators in the fraction, if we take their lcm, their lcm comes out to be 600.
01:17
So let's convert the fraction with common denominator.
01:22
So in this case, the denominators of all the fractions would be 600.
01:27
So let's first update that for every fraction.
01:31
The denominator would be 600 because that's the case.
01:35
We have to follow here because it stated that the fractions must have common denominator, which should be the least.
01:42
And now we see that 25 when multiplied with 24 gives us 600.
01:51
So even this 8 should be multiplied with 24...