Finding the Product of 1 1/3 and 6/7
This article will guide you through the process of multiplying the mixed number 1 1/3 by the fraction 6/7.
1. Convert the Mixed Number to an Improper Fraction
- Step 1: Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
- Step 2: Add the numerator (1) to the result from Step 1: 3 + 1 = 4
- Step 3: Keep the same denominator (3).
Therefore, 1 1/3 is equivalent to 4/3.
2. Multiply the Fractions
- Step 1: Multiply the numerators: 4 * 6 = 24
- Step 2: Multiply the denominators: 3 * 7 = 21
The product of the two fractions is 24/21.
3. Simplify the Result
- Step 1: Find the greatest common factor (GCD) of 24 and 21, which is 3.
- Step 2: Divide both the numerator and denominator by the GCD: 24/3 = 8 and 21/3 = 7.
Therefore, the simplified fraction is 8/7.
Conclusion
The product of 1 1/3 and 6/7 is 8/7.