Evaluating Expressions with Fractions
In this article, we will evaluate an expression that involves fractions, multiplication, and addition. The expression is:
1/2 × 45 + 0.5 × 37 + 5 1/10 × 18
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Simplify fractions: Convert mixed fractions to improper fractions.
- Multiply fractions with integers: Multiply the fractions with integers.
- Add the results: Add the results of the multiplications.
Let's break down the expression step by step:
Simplify fractions
1/2
is already a simple fraction.0.5
is equal to1/2
.5 1/10
can be simplified to51/10
.
So, the simplified expression is:
(1/2) × 45 + (1/2) × 37 + (51/10) × 18
Multiply fractions with integers
(1/2) × 45 = 22.5
(1/2) × 37 = 18.5
(51/10) × 18 = 92.58
Add the results
Now, let's add the results of the multiplications:
22.5 + 18.5 + 92.58 = 133.58
Therefore, the final result of the expression is 133.58.