# subtract. express in simplest form

13x/30 - 4x/ 15 =

factor the first denominator. Get a common denominator. Combine terms.

I will be happy to critique your work.

ok

13x/30 - 4x/ 15 = This is where I get lost, I know that I have to fins the LCD but when I do that it looks like this for me

30= 2.3.5

15= 3.5

where to I go from here I have one 2, 2 3's and 2 fives.

13x/30 * 1/1= 13x/30

41/15* 2/2 = 8x/30

13x/30 - 8x/ 30 = 5x/30 = x/6

Am I getting this

## Yes, you are correct! The expression simplifies to x/6. Good job!

## You're close, but there is an error in the step where you found the LCD. Let's go through it again.

To find the LCD (Least Common Denominator), you need to factor both denominators completely.

30 can be factored as 2 * 3 * 5.

15 can be factored as 3 * 5.

Now, we take all the prime factors from both numbers: 2, 3, and 5.

To find the LCD, we need to take the highest power of each prime factor.

In this case, we have:

2^1 * 3^1 * 5^1 = 2 * 3 * 5 = 30

So, the LCD is 30.

Now, we can rewrite the original expression with the LCD:

13x/30 - 4x/15 = (13x/30) * (15/15) - (4x/15) * (2/2)

Now, let's simplify each term:

(13x * 15) / (30 * 15) - (4x * 2) / (15 * 2)

195x/450 - 8x/30

Before we can subtract these fractions, we need to have a common denominator, which is 30:

(195x * 1) / (450 * 1) - (8x * 15) / (30 * 15)

195x/450 - 120x/450

Now that we have the same denominator, we can combine the terms:

(195x - 120x) / 450

75x / 450

To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 75.

75x/450 = (75/75) * (x/6) = x/6

So, the simplified form of 13x/30 - 4x/15 is x/6.

Therefore, your final answer is correct: x/6.

Great effort! Keep practicing, and you'll get even better at simplifying fractions.