Final answer:
The fraction that represents how many times 15 goes into 170 is 11 1/3 after dividing 170 by 15 and simplifying the remainder as a fraction.
Step-by-step explanation:
To find the fraction that represents how many times 15 goes into 170, we must divide 170 by 15. This can be set up as a division expression: 170 ÷ 15. When we perform the division, we get 170 divided by 15 equals 11 with a remainder of 5. To express this as a fraction, we include the whole number and the remainder over the divisor. Therefore, the fraction is 11 5/15. However, this fraction can be simplified by dividing the numerator and the denominator of the fractional part by their greatest common divisor, which is 5, yielding 1/3. Hence, the simplified mixed number is 11 1/3.