Math
posted by Tonya on .
I need some help with this math problem.
Multiply 31/6 * 9/11 * 6/17. Writre your answer to simplest form.
Answer: 171/187 is this correct? Please help

31 * 9 * 6

6 * 11 * 17
Now 31, 11 and 17 are prime numbers, so we are stuck with them. However we can divide top and bottom by 6, common factor.
31 * 9

11 * 17
= 279/187 
This is the problem
3 1/6 * 9/11 * 6/17
I have to choose
A. 1 1/170
B. 27/187
C. 1 171/187
D. 171/187
I choose D 
Multiply the numerators and denominators across.
Then simplify your fraction to the lowest term.
31/6 x 9/11 x 6/17 =
31 x 9 x 6 = 1674 (our numerator product)
6 x 11 x 17 = 1122 (our denominator product)
We now have:
1674/1122 as the new fraction.
When reduced to the lowest term we get:
279/187
Done! 
Oh, now you say 3 1/6 or 19/6
first you said 31/6
so
19/6 * 9/11 * 6/17
get rid of the 6 as before
19*9/(11*17) = 171/187