multiply 3 1/6 x 9/11 x 6/17 and write it in its simplest form
would that make the answer 513/561?
Yes.
To multiply the fractions 3 1/6, 9/11, and 6/17, follow these steps:
Step 1: Convert the mixed number 3 1/6 into an improper fraction.
- Multiply the whole number (3) by the denominator of the fraction (6) and add the numerator (1).
- This gives you (3 * 6) + 1 = 19.
- So, 3 1/6 can be written as the improper fraction 19/6.
Step 2: Multiply all the numerators together.
- Multiply 19/6, 9/11, and 6/17: (19/6) * (9/11) * (6/17).
- Multiply the numerators to get 19 * 9 * 6 = 1026.
Step 3: Multiply all the denominators together.
- Multiply the denominators to get 6 * 11 * 17 = 1122.
Step 4: Write the product as a fraction in the simplest form.
- The product is 1026/1122.
- To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator.
- The GCD of 1026 and 1122 is 18 (you can use a calculator or manual calculations to find the GCD).
- Divide both the numerator and denominator by 18: (1026/18) / (1122/18) = 57/62.
So, the product of 3 1/6, 9/11, and 6/17 simplified is 57/62, not 513/561.