How do you express the sum of 5y-3/9 and 2y-1/2
(5y-3/9) + (2y-1/2)
7y - 6/18 - 9/18
7y - 15/18
7y = 5/6
You mean simplify?
5y - 3/9 + 2y -1/2 = 7y -1/3 -1/2 = 7y - 2/6 - 3/6 = 7y - 5/6
To express the sum of two algebraic expressions, you need to combine like terms and simplify the result. In this case, you have two expressions: 5y - 3/9 and 2y - 1/2.
Step 1: Combine the y-terms.
5y + 2y = 7y
Step 2: Simplify the constant terms.
The constant term of the first expression is -3/9, which can be simplified as -1/3.
The constant term of the second expression is -1/2, which cannot be simplified further.
So, the simplified sum of 5y - 3/9 and 2y - 1/2 is 7y - 1/3 - 1/2.
To add the fractions -1/3 and -1/2, find a common denominator:
The denominators are 3 and 2, which have a common multiple of 6.
Convert the fractions to have a common denominator of 6:
-1/3 = -2/6
-1/2 = -3/6
Now, you can add the fractions:
-2/6 + (-3/6) = -5/6
Therefore, the simplified sum of 5y - 3/9 and 2y - 1/2 is 7y - 5/6.