A TRUCK DRIVER DROVE 300 MILES IN 6 3/4 HOURS. hOW MANY MILES PER HOUR DID THE DRIVER DRIVE?
300 X 27/4= 300/1 X 4/27= 1200/27
Now simplify that fraction.
44.4
300 divided by 6 3/4
Keep Change Flip (KCF)
300/1 x 4/27= 1200/27
Then do long division which gives you the answer of 44 12/27 (SIMPLIFY)
ANSWER- 44 4/9
75%
44 12/27 MPH
To find the number of miles per hour the driver drove, you need to divide the total distance (300 miles) by the total time (6 3/4 hours).
First, convert the mixed number 6 3/4 to an improper fraction. Multiply the whole number (6) by the denominator of the fraction (4), then add the numerator of the fraction (3). This gives you a total of 27/4 hours.
Next, divide the total distance (300 miles) by the total time (27/4 hours).
300 miles ÷ (27/4 hours)
Dividing fractions involves multiplying the numerator (top number) of the first fraction by the denominator (bottom number) of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
300 miles × (4/27 hours)
Now you can cancel any common factors between the numerator of the first fraction and the denominator of the second fraction.
300/1 × 4/27
Multiply the numerators together and the denominators together.
= 1200/27
Finally, simplify the fraction if possible. Both 1200 and 27 can be divided by 3.
= 400/9
So, the truck driver drove at a speed of 400/9 miles per hour.