Question

A nature center offers 2 guided walks.The morning walk is 2 third mile.The evening walk is 3 sixth mile.Which walk is shorter?

Answer 1

The evening walk is shorter because 3/6 is 1/2 or .5 a mile, while 2/3 mile is .66 a mile

Answer 2

The evening walk of 3/6 mile is shorter

Explanation:

Too find which guided walk is shorter, express both duration of walks expressed as fractions in common denominator.

Common Denomitar of two numbers, may be find by doing the prime factorization of both denominators:

Morning walk: 2/3

3/3

1

Evening walk

6/2

3/3

1

We then multiply all the factors of both factorizations. If a factor is repeated in both factorizations we multiply it the max number of time it appears. 2 is find in only one factorization and 3 in both an it apprars only once on both factorizations so the LCD is 6

We express both number in LCD

3/6 is already in this denominator

2/3 = 4/6 because two obtain 6 as a denominator we must multiply by two th fraction

4/6 > 3/6 so the evening walk is shorter