Evaluating the Expression: 0 9 - 3/8 x 2 + 1 3/5
When dealing with mixed numbers and fractions, it's essential to follow the order of operations (PEMDAS) to ensure accurate calculations. In this article, we'll break down the expression 0 9 - 3/8 x 2 + 1 3/5 and evaluate it step-by-step.
Converting Mixed Numbers to Improper Fractions
Before we begin, let's convert the mixed numbers to improper fractions:
- 0 9 = 9/10
- 1 3/5 = 8/5 + 3/5 = 13/5
Now, let's rewrite the expression using these improper fractions:
9/10 - 3/8 × 2 + 13/5
Evaluating the Expression
Next, we'll follow the order of operations:
- Multiply 3/8 by 2:
(3/8) × 2 = 6/8 = 3/4
So, the expression becomes:
9/10 - 3/4 + 13/5
- Find a common denominator: The least common multiple (LCM) of 10, 4, and 5 is 20. Let's convert each fraction to have a denominator of 20:
9/10 = 18/20
3/4 = 15/20
13/5 = 52/20
Now, rewrite the expression:
18/20 - 15/20 + 52/20
- Perform the subtractions and addition:
18/20 - 15/20 = 3/20
3/20 + 52/20 = 55/20
Final Answer
Therefore, the final result of the expression 0 9 - 3/8 x 2 + 1 3/5 is:
55/20
Simplified, this becomes:
11/4
Or, as a mixed number:
2 3/4
There you have it! The evaluated expression is equal to 2 3/4.
