4 1/4 Divided by 4 1/2 as a Fraction
When dividing mixed numbers, it's essential to follow the correct steps to get the correct result. In this article, we'll explore how to divide 4 1/4 by 4 1/2 as a fraction.
Step 1: Convert Mixed Numbers to Impressive Fractions
To begin, let's convert both mixed numbers to improper fractions:
4 1/4 = ?
- Multiply the whole number part (4) by the denominator (4): 4 × 4 = 16
- Add the numerator (1) to the product: 16 + 1 = 17
- Write the result as an improper fraction: 17/4
4 1/2 = ?
- Multiply the whole number part (4) by the denominator (2): 4 × 2 = 8
- Add the numerator (1) to the product: 8 + 1 = 9
- Write the result as an improper fraction: 9/2
Step 2: Divide the Fractions
Now that we have both numbers as improper fractions, we can divide them:
17/4 ÷ 9/2 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
- Invert the second fraction: 2/9
- Multiply the fractions: (17/4) × (2/9)
Step 3: Simplify the Result
Let's multiply the numerators and denominators:
- Multiply the numerators: 17 × 2 = 34
- Multiply the denominators: 4 × 9 = 36
- Write the result as a fraction: 34/36
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:
- 34 ÷ 2 = 17
- 36 ÷ 2 = 18
- Simplified fraction: 17/18
Final Answer
Therefore, 4 1/4 divided by 4 1/2 as a fraction is equal to 17/18.
