Sierra is driving her truck across the country. Today she drove 325 1/2 miles and used 15 1/2 gallons or gas. What is her unit rate of miles per gallon?
To find the unit rate of miles per gallon, divide the total number of miles driven (325 1/2 miles) by the total number of gallons of gas used (15 1/2 gallons).
325 1/2 miles divided by 15 1/2 gallons equals 21 miles per gallon.
Therefore, Sierra's unit rate of miles per gallon is 21 miles per gallon.
To find Sierra's unit rate of miles per gallon, you need to divide the total number of miles she drove by the total number of gallons of gas she used.
The total number of miles Sierra drove is given as 325 1/2 miles. You can write this as a mixed number, which would be 325 + 1/2 miles, or as an improper fraction: 325/1 + 1/2 = (325*2 + 1)/2 = 651/2 miles.
The total number of gallons of gas used is given as 15 1/2 gallons. Again, you can write this as a mixed number, which would be 15 + 1/2 gallons, or as an improper fraction: 15/1 + 1/2 = (15*2 + 1)/2 = 31/2 gallons.
Now, to find the unit rate of miles per gallon, divide the total number of miles by the total number of gallons:
(651/2) miles ÷ (31/2) gallons = (651/2) miles × (2/31) gallons = (651/31) miles per gallon.
So, the unit rate of miles per gallon is 651/31 miles per gallon, or approximately 21 miles per gallon.
To find Sierra's unit rate of miles per gallon, we need to divide the total number of miles she drove by the total number of gallons she used.
Miles driven = 325 1/2 miles
Gallons used = 15 1/2 gallons
To convert the mixed numbers to improper fractions:
325 1/2 miles = (325 * 2 + 1) / 2 = 651/2 miles
15 1/2 gallons = (15 * 2 + 1) / 2 = 31/2 gallons
Now, let's calculate the unit rate by dividing the miles by the gallons:
Unit rate = Miles driven / Gallons used
= (651/2 miles) / (31/2 gallons)
To divide fractions, we invert the divisor and multiply:
Unit rate = (651/2 miles) * (2/31 gallons)
= (651 * 2) / (2 * 31) miles/gallon
= 1302/62 miles/gallon
Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
Unit rate = 651/31 miles/gallon
Therefore, Sierra's unit rate of miles per gallon is 651/31 miles per gallon.