Simplifying Expressions: 1/4+9/10y-3/5y+7/8
In this article, we will explore how to simplify the algebraic expression 1/4+9/10y-3/5y+7/8. Simplifying expressions involves combining like terms and eliminating any unnecessary fractions.
Step 1: Identify Like Terms
The given expression is 1/4+9/10y-3/5y+7/8. To simplify this expression, we need to identify the like terms. In this case, the like terms are the terms with the variable y.
Step 2: Combine Like Terms
Now, let's combine the like terms:
9/10y - 3/5y = (9/10 - 3/5)y = (9/10 - 6/10)y = (3/10)y
So, the simplified expression becomes:
1/4 + (3/10)y + 7/8
Step 3: Simplify the Fractions
We can simplify the fractions by finding the least common multiple (LCM) of the denominators, which are 4, 10, and 8. The LCM is 40. We can rewrite each fraction with a denominator of 40:
1/4 = 10/40 7/8 = 35/40 (3/10)y = (12/40)y
Now, the simplified expression is:
10/40 + (12/40)y + 35/40
Final Simplified Expression
Combining the fractions, we get:
47/40 + (12/40)y
And that's the simplified expression!
Remember, when simplifying expressions, it's essential to identify like terms, combine them, and simplify the resulting fractions. Practice makes perfect, so try simplifying more expressions to become a pro!
