Calculating 2 1/3 x 1 5/6 as a Fraction
To calculate the product of 2 1/3 and 1 5/6 as a fraction, we need to follow the rules of multiplying mixed numbers.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert both mixed numbers to improper fractions:
- 2 1/3 = 7/3 (multiply the whole number part by the denominator and add the numerator)
- 1 5/6 = 11/6 (multiply the whole number part by the denominator and add the numerator)
Step 2: Multiply the Improper Fractions
Now, we can multiply the two improper fractions:
7/3 × 11/6 = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom):
- Numerator: 7 × 11 = 77
- Denominator: 3 × 6 = 18
Step 3: Simplify the Fraction
Now, we have the result:
77/18
This is the simplified form of the product of 2 1/3 and 1 5/6 as a fraction.
Therefore, the result of multiplying 2 1/3 and 1 5/6 is 77/18.
