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# manfred has hiked 119 2\7

the trail 119 miler long it beging in city a and end in the city b manfred has 2\7 of the trail before how many miles has he hiked

Forward slash, /, denotes Normal Division.

Backward slash, \, denotes Integer Division where the remainder is discarded.

E.g., 10/3 = 3 + 1/3; BUT 10\3 = 3.

[see http://mathworld.wolfram.com/IntegerDivision.html]

Taken as written, 119 + 2\7 = 119 + 0 = 119.
Also, in the title to the question you wrote 119 2\7, by which I'll assume you meant 119 2/7. But that means 119+2/7, not 119*2/7, which is what you meant in the description. (* means multiply)

This is why in higher level math mixed fractions are almost NEVER used; they're too prone to misinterpretation. It's the only place in math where an unspecified arithmetic operator does not mean multiply. Improper fractions are preferred. If you have to write a mixed number write it with a + between the numbers, e.g., 119+2/7.

Hi Jessica;
(119)(2/7)
(119/1)(2/7)
The numerators are 119 and 2.
The denominators are 1 and 7.
We may notice that 119/7=17
Let's replace 119 with 17, and let's replace 7 with 1.
(17/1)(2/1)
(17)(2)
34
Manfred has hiked 34 miles.