Multiplying Mixed Numbers: 1 1/4 x 1 1/3
This article will guide you through the steps of multiplying the mixed numbers 1 1/4 and 1 1/3.
Step 1: Convert Mixed Numbers to Improper Fractions
-
1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives you (1 * 4 + 1) / 4 = 5/4.
-
1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator. This gives you (1 * 3 + 1) / 3 = 4/3.
Step 2: Multiply the Numerators and Denominators
- (5/4) * (4/3) = (5 * 4) / (4 * 3)
Step 3: Simplify
- (5 * 4) / (4 * 3) = 20/12
Step 4: Convert Improper Fraction to Mixed Number (Optional)
- 20/12 can be simplified to 5/3.
- This improper fraction can be converted back to a mixed number: 5/3 = 1 2/3
Conclusion
Therefore, 1 1/4 times 1 1/3 is equal to 1 2/3.