To add/subtract fractions we must have the same denominator in our values.

Our equation is:

11/36 - 5/54 = y

Our given denominators are 36 and 54

We need to find a way to make both of our fractions have the same denominator

We want to find the least common denominator simply because it's easier than working with huge numbers.

I think the easiest way to find out the LCD is to make a multiplication table for each value.

36 x 2 = 72 **54 x 2 = 108**

**36 x 3 = 108** 54 x 3 = 162

36 x 4 = 144 54 x 4 = 216

36 x 5 = 180 54 x 5 = 270

36 x 6 = 216 54 x 6 = 324

From the table, we can see that both 36 & 54 can be multiplied to get 108. Now we can change the denominators.

***REMEMBER to multiply the numerator and denominator by your factor!

we will multiply (11/36) by 3/3 and 5/54 by 2/2

we can do this because 3/3 and 2/2 both just equal 1, and don't change the value of the equation.

so;

(11/36)(3/3) - (5/54)(2/2) = y

33/108 - 10/108 = y

**y = 23/108 **

23 is a prime number so this fraction is the answer & can't be simplified any more.

Hannah P.

07/28/21

Alyssa Z.

Thank you so much for the in-depth explanation!07/28/21