Multiplying Mixed Numbers: 1 5/6 x 4 1/2 as a Fraction
To multiply mixed numbers, we need to follow a specific procedure. In this article, we will focus on multiplying 1 5/6 and 4 1/2 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first.
1 5/6
- The whole number part is 1
- The fraction part is 5/6
- To convert it to an improper fraction, multiply the whole number part by the denominator (6) and add the numerator (5)
- So, 1 5/6 = (1 × 6 + 5)/6 = 11/6
4 1/2
- The whole number part is 4
- The fraction part is 1/2
- To convert it to an improper fraction, multiply the whole number part by the denominator (2) and add the numerator (1)
- So, 4 1/2 = (4 × 2 + 1)/2 = 9/2
Step 2: Multiply the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
(11/6) × (9/2)
- Multiply the numerators (11 and 9) to get 99
- Multiply the denominators (6 and 2) to get 12
- So, the product is 99/12
Simplifying the Fraction
We can simplify the fraction 99/12 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3.
- 99 ÷ 3 = 33
- 12 ÷ 3 = 4
So, the final answer is:
33/4
Therefore, 1 5/6 x 4 1/2 as a fraction is equal to 33/4.
