0.17
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For division by 10, 100, 1000 etc... you shift the decimal place to the left for each zero in the divisor. In your example the divisor is 10 and requires you to shift the decimal in the numerator one digit to the left.
1.7 / 10 = 0.17
Had your divisor been 100 you would have shift the decimal place to the left twice.
10/17 = 0.5882352941176470 recurring (that is, 0.58823529411764705882352941176470...)
10 gallons divided by 17 people answer in fractions = 0.5882352941176471
17
1.7
To divide by a fraction, you multiply by the reciprocal. In this case, 6/11 divided by 10/17 is the same as 6/11 x 17/10.
510