Multiplying Fractions: 1 1/3 times 5/6
This article will guide you through the process of multiplying the mixed number 1 1/3 by the fraction 5/6.
Step 1: Convert the mixed number to a fraction.
- 1 1/3 is equivalent to (1 x 3 + 1)/3 = 4/3
Step 2: Multiply the numerators and the denominators.
- (4/3) x (5/6) = (4 x 5) / (3 x 6)
Step 3: Simplify the result.
- 20/18 can be simplified by dividing both numerator and denominator by their greatest common factor, which is 2.
- (20/2) / (18/2) = 10/9
Final Answer:
Therefore, 1 1/3 times 5/6 is equal to 10/9. This can also be expressed as 1 1/9 as a mixed number.