I need help solving this problem.

17 11/12 ÷ 6 1/10

When dividing fractions, all you do is flip the second number and then multiply across. No need for finding common denominators.

First you'll need to make both of these into improper fractions.

17 11/12 = 215/12
(I multiplied 17 x 12, then added 11.)

6 1/10 = 61/10

Then here's what you're left with:

215/12 x 61/10 = ??

Once you've done the multiplying, you'll need to reduce as much as possible. What do you get?

DO you multiply across? Like 215 x 61= 13,115?

Almost. Remember to flip the second fraction before you multiply, though.

215/12 x 10/61 =

(I shouldn't have put the x in the post above. That should have been a division sign.)

To solve this problem, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
- 17 11/12 can be converted to an improper fraction by multiplying the whole number (17) by the denominator (12) and adding the numerator (11), then putting the result over the denominator.
So, 17 11/12 = (17 x 12 + 11)/12 = 205/12
- 6 1/10 can be converted to an improper fraction in the same way:
6 1/10 = (6 x 10 + 1)/10 = 61/10

Step 2: Invert the divisor (the second fraction) and multiply.
- To divide fractions, we invert the second fraction and multiply the first fraction by the inverted second fraction.
- So, divide 205/12 by 61/10: (205/12) * (10/61)

Step 3: Simplify the resulting fraction.
- Multiply the numerators together (205 x 10) to get the new numerator.
- Multiply the denominators together (12 x 61) to get the new denominator.
- So, (205/12) * (10/61) = (205 * 10)/(12 * 61) = 2050/732

Step 4: Simplify the fraction, if possible.
- If there is a common factor between the numerator and the denominator, divide both by that factor to simplify the fraction.
- If there are no common factors, the fraction is already in simplest form.
- In this case, 2050/732 can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD) which is 2.
- So, 2050/732 = (2050/2) / (732/2) = 1025/366

Therefore, 17 11/12 ÷ 6 1/10 is equal to 1025/366.