Multiplying Fractions: 1 1/3 x 5/6
This article will guide you through the steps of multiplying the mixed number 1 1/3 by the fraction 5/6.
Step 1: Convert the Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/3 into an improper fraction.
- Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
- Add the numerator of the fraction (1): 3 + 1 = 4
- Keep the same denominator (3): The improper fraction is 4/3.
Step 2: Multiply the Fractions
Now we have 4/3 * 5/6. To multiply fractions, we multiply the numerators and the denominators.
- Numerators: 4 * 5 = 20
- Denominators: 3 * 6 = 18
This gives us the fraction 20/18.
Step 3: Simplify the Fraction
The fraction 20/18 can be simplified. Both 20 and 18 are divisible by 2.
- 20 ÷ 2 = 10
- 18 ÷ 2 = 9
Therefore, the simplified answer is 10/9.
Final Answer
1 1/3 * 5/6 = 10/9
This can also be expressed as a mixed number: 1 1/9.