An object traveled a total of 21 1/2 miles in five hours. If it traveled an equal number of miles each hour, how many miles did it travel each hour?

  4.3 miles

The decimal 4.3 is equivalent to the mixed number 4 & 3/10

Explanation:

Fractions are often a pain, so I find it helpful to convert to decimal form whenever possible.

1/2 = 0.5

21 & 1/2 = 21 + 1/2 = 21 + 0.5 = 21.5

21 & 1/2 miles = 21.5 miles

The object travels 21.5 miles in 5 hours. Divide the distance over the time value to get the speed (or rate). This is exactly identical to finding the number of miles traveled in one hour (since each hour the object travels the same amount of distance)

speed = distance/time = 21.5/5 = 4.3 mph

4.3 = 4 + 0.3 = 4 + 3/10 = 4 & 3/10

In my opinion, it is much easier to use decimals. Saying "the object traveled a distance of 4 & 3/10 miles" seems very clunky to me.

Therefore, each hour, the object travels 4.3 miles.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

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