3.jpeg "1 3/4 Divided By 1/2 - (1 1/2)3")
Fraction Operations: A Step-by-Step Guide
In this article, we will tackle a complex fraction operation: 1 3/4 divided by 1/2 - (1 1/2)3. This operation involves multiple steps, including division, subtraction, and multiplication. Let's break it down step by step.
Step 1: Divide 1 3/4 by 1/2
To perform this division, we need to convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = (4/4 + 3/4) = 7/4
Now, we can divide 7/4 by 1/2.
(7/4) ÷ (1/2) = (7/4) × (2/1) = 14/4 = 3 1/2
So, 1 3/4 divided by 1/2 is equal to 3 1/2.
Step 2: Calculate (1 1/2)3
To calculate (1 1/2)3, we need to convert the mixed number 1 1/2 to an improper fraction.
1 1/2 = (2/2 + 1/2) = 3/2
Now, we can multiply 3/2 by 3.
(3/2) × 3 = 9/2 = 4 1/2
So, (1 1/2)3 is equal to 4 1/2.
Step 3: Subtract (1 1/2)3 from 3 1/2
Finally, we need to subtract 4 1/2 from 3 1/2.
3 1/2 - 4 1/2 = -1
So, the final result of 1 3/4 divided by 1/2 - (1 1/2)3 is -1.
In conclusion, by breaking down the operation into smaller steps, we can solve complex fraction operations with ease. Remember to convert mixed numbers to improper fractions and follow the order of operations to ensure accurate results.
