8 1/2 x 2/3 as a Fraction
To multiply a mixed number by a fraction, we need to first convert the mixed number into a fraction. Here's how we can do it:
Step 1: Convert the mixed number to an improper fraction.
- Multiply the whole number by the denominator: 8 x 2 = 16
- Add the numerator: 16 + 1 = 17
- Keep the same denominator: 17/2
Now we have the fraction form of 8 1/2, which is 17/2.
Step 2: Multiply the fractions.
- Multiply the numerators: 17 x 2 = 34
- Multiply the denominators: 2 x 3 = 6
This gives us the result: 34/6.
Step 3: Simplify the fraction.
- Find the greatest common factor (GCD) of 34 and 6: The GCD is 2.
- Divide both the numerator and denominator by the GCD: 34 ÷ 2 = 17 and 6 ÷ 2 = 3
Therefore, 8 1/2 x 2/3 is equal to 17/3.
