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

## manfred has hiked 119 2\7

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# 1 Answer

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.**

## Comments

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]

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