A band marches 2 1/2 miles in 1 2/3 hours so how far would they march in 1/2 hour

Answer 1

To solve this problem, you need to find out the band's speed, in miles per hour. To do this, you can divide the distance they traveled by the time it took them.

First, it will be easier to work with if we write the mixed numbers as improper fractions: 2 1/2 is equal to 5/2 and 1 2/3 is equal to 5/3.

The band's speed is (5/2 miles) per (5/3) hours. This is equal to (5/2) / (5/3) miles per hour. To divide by a fraction, we multiply by the reciprocal: (5/2) / (5/3) = (5/2)*(3/5) = 3/2. So the band's speed is 3/2 miles per hour.

To find how far they would march in 1/2 hour, multiply their speed by 1/2 hour: (3/2 miles per hour)*(1/2 hour) = (3/2)*(1/2) miles = 3/4 miles.