7/15+(-5/6)write in simplest form
First, find the common denominator. What is the smallest number that's divisible by 15 and 6?
7 / 15 = 14 / 30
5 / 6 = 25 /30
7 / 15 + ( - 5 / 6 ) =
7 / 15 - 5 / 6 =
14 / 30 - 25 / 30 =
- 11 / 30
To write the expression (7/15) + (-5/6) in the simplest form, you need to find a common denominator, which is the least common multiple (LCM) of 15 and 6.
First, let's find the LCM of 15 and 6:
Multiples of 15: 15, 30, 45, 60, 75, 90, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
The least common multiple (LCM) of 15 and 6 is 30.
Next, we need to rewrite both fractions with the common denominator of 30:
(7/15) + (-5/6) = (7/15) * (2/2) + (-5/6) * (5/5)
= 14/30 + (-25/30)
Now that the fractions have the same denominator, we can perform the addition:
14/30 + (-25/30) = (14 - 25)/30
= -11/30
So, the simplest form of the expression (7/15) + (-5/6) is -11/30.