What is 27 Divided by 3/17?

Accepted Solution


We're examining the division of a whole number by a fraction, in this case 27 divided by 3/17. To solve these kinds of problems, we need to understand each part: the 'whole number' or dividend (27), the numerator (3) and the denominator (17) of the 'fraction' or divisor.

To answer the question of 'What is 27 Divided by 3/17?' we'll perform the following steps:

  1. Setup the problem: 27 Γ· \(\frac{3}{17}\)
  2. Multiply the dividend (27) by the denominator of the divisor (17): 27 x 17 equals 459
  3. Turn the numerator (3) of the divisor into the denominator of the result. This gives us 459/3, which simplifies to 153/1. In general, a fraction with 1 as the denominator can be represented solely by its numerator, so the final result is 153.

Keep practicing these kinds of division problems to further your understanding, consider trying the following problems: divide something by 73 so the result is 84, divide 76 by 11/1, divide 3/10 by 9/2, determine what number dividing into 57 yields 18, and divide 13/6 by 68.