multiply 3 1/6 x 9/11 x 6/17 and write it in its simplest form
3 1/6 = 19/6
19/6 * 9/11 * 6/17 = ?
Multiply the numerators, then the denominators. Reduce the fraction if possible.
We'll be glad to check your answer.
513/561?
Right -- although I didn't check to see if that fraction can be reduced any farther.
To multiply the fractions (3 1/6) x (9/11) x (6/17) and write it in its simplest form, follow these steps:
Step 1: Convert the mixed number (3 1/6) into an improper fraction.
3 1/6 = (3 * 6 + 1) / 6 = 19/6
Step 2: Multiply the numerators together (the numbers on top) and multiply the denominators together (the numbers on the bottom).
(19/6) x (9/11) x (6/17) = (19 x 9 x 6) / (6 x 11 x 17)
Step 3: Simplify the resulting fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both the numerator and the denominator by it.
The GCD of (19 x 9 x 6) and (6 x 11 x 17) is 3.
(19 x 9 x 6) / (6 x 11 x 17) = (3 x 19 x 9 x 6) / (3 x 2 x 11 x 17) = (19 x 9 x 6) / (2 x 11 x 17)
Now, cancel out any common factors between the numerator and denominator.
The factors 2, 11, and 17 are prime and do not have any common factors with the numerator.
Therefore, the final answer in its simplest form is:
(19 x 9 x 6) / (2 x 11 x 17) = 9876 / 374 = 26.4141 (rounded to four decimal places)