Multiply 3 1/6 X 2 9/11 X 4 6/17. Write your answer in simplest form.?
Convert each mixed number to a fraction. For example, 2 9/11 is 31/11
Multiply the numerators and the denominators of the three fractions separately. The answer will be the product of the numerators divided by the product ot the denominators.
For "simplest form", they may want you to convert that final fractional answer, which will be greater than 1, back to a mixed number.
To multiply mixed numbers, you can convert them to improper fractions, then multiply the numerators and denominators separately. Here's how you can do it step by step:
Step 1: Convert the mixed numbers to improper fractions.
3 1/6 = (3 * 6 + 1) / 6 = 19/6
2 9/11 = (2 * 11 + 9) / 11 = 31/11
4 6/17 = (4 * 17 + 6) / 17 = 74/17
Step 2: Multiply the numerators and denominators separately.
Numerator = 19 * 31 * 74 = 44974
Denominator = 6 * 11 * 17 = 1122
Step 3: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it.
GCD(44974, 1122) = 2
Numerator = 44974 / 2 = 22487
Denominator = 1122 / 2 = 561
Therefore, the simplified answer is 22487/561.