I need help with setting up this problem. It took Melanie 1/3 of an hour to ride her bike 2 3/4 of a mile. How many miles per hour can Melanie ride her bike?
no 8.25 as a fraction is not 33/400 it is 8 and 1/4
2.75 * 3 = ?
It took Melanie 1/2 of an hour to ride her bike 1_1/2 of a mile. How many miles per hour can Melanie ride her
To find the miles per hour that Melanie can ride her bike, we need to calculate how many miles she can ride in one hour.
First, we need to convert the time Melanie rode her bike to hours. We're given that she rode for 1/3 of an hour.
To convert 1/3 of an hour to hours, we divide 1 by 3: 1 ÷ 3 = 0.3333 hours.
Next, we divide the total distance by the time in hours to find the speed:
Distance ÷ Time = Speed
We're given that Melanie rode 2 3/4 of a mile, which we can also write as an improper fraction: 11/4 miles.
So, we substitute the values into the formula:
Speed = (11/4 miles) ÷ (0.3333 hours)
To divide a fraction by a decimal, we multiply the fraction by the reciprocal of the decimal.
Speed = (11/4 miles) × (1 / 0.3333 hours)
To multiply fractions, we multiply the numerators and denominators:
Speed = (11 × 1) / (4 × 0.3333)
Speed = 11 / 1.3332
To simplify this decimal fraction, we can use a calculator or perform long division:
Speed = 8.25006 miles per hour (rounded to five decimal places)
Therefore, Melanie can ride her bike at approximately 8.25006 miles per hour.