Simplifying the Expression: 1/4 + 9/10y - 3/5y + 7/8
To simplify the given expression, we need to combine the like terms and simplify the fractions. Let's break it down step by step:
Step 1: Combine the like terms
The given expression is:
1/4 + 9/10y - 3/5y + 7/8
First, let's combine the terms with the variable y:
9/10y - 3/5y = (9/10 - 3/5)y
To add or subtract fractions, we need a common denominator. The least common multiple (LCM) of 10 and 5 is 10. So, we can rewrite the fractions as:
(9/10 - 6/10)y = 3/10y
Now, the expression becomes:
1/4 + 3/10y + 7/8
Step 2: Simplify the fractions
We can't simplify the fractions further, as they are already in their simplest form.
Simplified Expression:
The simplified expression is:
1/4 + 3/10y + 7/8
Note that we cannot combine the fractions 1/4, 3/10y, and 7/8 further, as they have different denominators. The final expression is in its simplest form.
