Express 13/10 - 2/15 as a simplified rational number. I want to make sure I'm doing it correctly. 10 and 15 will go in there 30T and then I said 15 will go in 30 4 T and did I said 10 will go in 30 3T which gave me 35/30 and did I divided it and got 1.16667 do you understand what I just explained.
Not entirely, but I think it's equivalent to this.
What you have are two fractions, so you need to determine a common denominator.
The 2 denominators are 10 and 15. I think you can see that the LCM is 30. If not, run through the multiples of 15 that end with 0.
Thus our expression is equivalent to
(3*13)/(3*10) -(2*2)/(2*15) or,
39/30 - 4/30 = (39-4)/30
You should be able to simplify this. I see that you did get this result. If we divide the top and bottom by 5 we get 7/6, which is approx. equivalent to the decimal you gave.
Do you understand what I just explained?
I'm kinda confuse now well I understand how I got the LCM but once I did that I thought you suppose to times it and then subtract 39 - 4 which is 35/30 then I divided it and I got 1.166667 I don't understand why we're dividing it by 5 can you please explain again for me if you don't mine. Thanks for your help
Yes, we ended up with the fraction 35/30.
The numerator and denominator have a common factor of 5, i.e. (7*5)/(6*5). This is what I meant by dividing the top and bottom by 5.
We simplify the fraction by cancelling the common factors in the numerator and denominator to get 7/6.
This is equivalent to the decimal you got. 7/6 = 1 1/6 ia approx 1.166667.
Does that clarify?
Thank you for explaining! I see where the confusion is coming from now.
When we have a fraction like 35/30, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 35 and 30 is 5. So when we divide 35 by 5, we get 7, and when we divide 30 by 5, we get 6.
So, 35/30 simplifies to 7/6. And as we discussed earlier, this fraction is approximately equal to 1.166667 in decimal form.
I apologize for the oversight in my previous response where I mentioned dividing by 5. It was mistakenly stated. Dividing by 5 is not necessary in this case. The correct simplification is 7/6.
I hope this clears things up for you. Let me know if you have any further questions!