Finding 1 1/3 times 6/7 in Fraction Form
This problem requires us to multiply a mixed number by a fraction. Here's how to solve it step-by-step:
1. Convert the Mixed Number to a Fraction
- 1 1/3 is equivalent to (1 x 3 + 1)/3 = 4/3
2. Multiply the Fractions
- Now we have (4/3) x (6/7).
- To multiply fractions, we multiply the numerators and the denominators:
- (4 x 6) / (3 x 7) = 24/21
3. Simplify the Result
- The fraction 24/21 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3:
- (24/3) / (21/3) = 8/7
4. Express the Answer as a Mixed Number (Optional)
- The fraction 8/7 is an improper fraction (numerator is greater than the denominator). We can express it as a mixed number:
- 8/7 = 1 1/7
Therefore, 1 1/3 times 6/7 is equal to 8/7 or 1 1/7.