Heather rode her bicycle 3 5/6 miles in 2/3 hours what was her average speed in miles per hour
To find the average speed, divide the total distance traveled by the total time taken.
Heather rode her bicycle for 3 5/6 miles in 2/3 hours.
Converting 3 5/6 miles to an improper fraction:
3(6/6) + 5/6 = 18/6 + 5/6 = 23/6 miles
So, Heather rode a total of 23/6 miles.
Average speed = Total Distance / Total Time
= (23/6 miles) / (2/3 hours)
To divide fractions, invert the second fraction and multiply:
= (23/6 miles) * (3/2 hours)
= (69/12) miles
Simplifying the fraction, we get:
= 5 9/12 miles
Reducing the fraction, we get:
= 5 3/4 miles
Therefore, Heather's average speed was 5 3/4 miles per hour.
To find Heather's average speed in miles per hour, we need to divide the total distance she traveled by the total time it took her.
Distance: 3 5/6 miles
Time: 2/3 hours
Step 1: Convert the mixed number distance to an improper fraction.
3 5/6 = (3 × 6 + 5)/6 = 23/6
Step 2: Divide the distance by the time.
Average Speed = Distance / Time
= 23/6 / 2/3
Step 3: Invert the divisor and multiply.
Average Speed = 23/6 × 3/2
= (23 × 3) / (6 × 2)
= 69/12
Step 4: Simplify the resulting fraction, if possible.
Average Speed = 23/4
Therefore, Heather's average speed was 23/4 miles per hour.
To find the average speed in miles per hour, we need to divide the total distance traveled by the total time taken.
First, let's convert the mixed fraction for distance into an improper fraction:
3 5/6 = (6 * 3 + 5) / 6 = 23/6
So, Heather rode a total distance of 23/6 miles.
Next, let's convert the mixed fraction for time into an improper fraction:
2/3 = 2/3
Now we have the distance as 23/6 miles and the time as 2/3 hours.
To find the average speed, we divide the distance by the time:
Average speed = distance / time
Average speed = (23/6) / (2/3)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
Average speed = (23/6) * (3/2)
When we multiply fractions, we multiply the numerators together and the denominators together:
Average speed = (23 * 3) / (6 * 2)
Average speed = 69 / 12
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:
Average speed = 23 / 4
Therefore, Heather's average speed was 23/4 miles per hour.