Question

Please help me on this

Answer 1

The correct answer to this problem is 5/36

Answer 2

`(9)/(12) - (11)/(18) = (5)/(36)`

Explanation:

We can solve this subtraction of fractions by converting both fractions to forms where they have a common denominator.

To do this, we first have to find the least common multiple (LCM) of their denominators.

1. Write out the denominators' prime factorizations.

12 18

2, 2, 3 2, 3, 3

2. Multiply the greatest multiple of each prime number.

2² × 3² = 4 × 9 = 36

So, the LCM of the denominators is 36.

Next, we need to get both fractions' denominators to 36 by multiplying each one by {36 divided by them} over {36 divided by them}.

Remember, this is just multiplying by 1.

`\left((9)/(12) * (36/12)/(36/12)\right) - \left((11)/(18) * (36/18)/(36/18)\right)`

↓ simplifying the fractions being multiplied

`\left((9)/(12) * (3)/(3)\right) - \left((11)/(18) * (2)/(2)\right)`

↓ executing the multiplication

`(27)/(36) - (22)/(36)`

Finally, we can subtract the fractions' numerators.

`(27)/(36) - (22)/(36) = \boxed{(5)/(36)}`