Multiplying Fractions: 1 1/3 x 6/7
To multiply fractions, we follow these steps:
-
Convert mixed numbers to improper fractions.
- In this case, 1 1/3 is equal to (1*3 + 1)/3 = 4/3.
-
Multiply the numerators (top numbers).
- 4/3 x 6/7 = (4 * 6)
-
Multiply the denominators (bottom numbers).
- 4/3 x 6/7 = (4 * 6) / (3 * 7)
-
Simplify the result.
- (4 * 6) / (3 * 7) = 24/21
-
Reduce the fraction to its simplest form.
- 24/21 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3. This gives us 8/7.
Therefore, 1 1/3 x 6/7 is equal to 8/7.
Note: This result can also be expressed as a mixed number: 1 1/7.