Multiplying Fractions: 1 2/3 x 2/3
This article will guide you through the steps of multiplying mixed numbers and fractions. We'll focus on the example of 1 2/3 x 2/3.
Step 1: Convert the mixed number to an improper fraction.
- 1 2/3 means 1 whole and 2/3.
- To convert it to an improper fraction, multiply the denominator (3) by the whole number (1) and add the numerator (2): 3 x 1 + 2 = 5.
- Keep the same denominator (3): 5/3
Step 2: Multiply the numerators and the denominators.
- (5/3) x (2/3) = (5 x 2) / (3 x 3)
- This simplifies to 10/9.
Step 3: Convert the improper fraction back to a mixed number (optional).
- 10/9 means 9/9 + 1/9, which is the same as 1 1/9.