Understanding Fuel Efficiency and Fraction Multiplication

The video tutorial explains how to calculate the distance a car can travel on one-third of a gallon of gas, given that it gets 29 and one-fourth miles per gallon. It involves converting a mixed number to an improper fraction, simplifying the fraction using divisibility rules, and performing multiplication. The final result is converted back to a mixed number to determine the distance in miles.

If a car travels 29 and 1/4 miles per gallon, how far can it go on 1/3 of a gallon?

• 9 and 1/3 miles

• 9 and 3/4 miles

• 9 and 1/4 miles

• 9 and 3/4 miles

What is the first step in solving the problem of finding the distance traveled on 1/3 of a gallon?

• Convert 29 and 1/4 to an improper fraction

• Divide 29 and 1/4 by 1/3

• Multiply directly by 1/3

• Add 1/3 to 29 and 1/4

How do you convert 29 and 1/4 into an improper fraction?

• Multiply 29 by 4 and add 1

• Multiply 29 by 1 and add 4

• Multiply 4 by 29 and subtract 1

• Multiply 4 by 29 and add 1

What is the improper fraction form of 29 and 1/4?

• 118/4

• 116/4

• 117/4

• 115/4

Why is 117 divisible by 3?

• Because 117 is an even number

• Because the sum of its digits is divisible by 3

• Because 117 is a prime number

• Because 117 is a multiple of 5

What is the result of dividing 117 by 3?

• 38

• 39

• 40

• 41

After simplifying, what is the result of multiplying 1/3 by 117/4?

• 41/4

• 39/4

• 38/4

• 40/4

How do you convert 39/4 into a mixed number?

• Add 39 to 4 and use the remainder

• Multiply 39 by 4 and use the remainder

• Divide 39 by 4 and use the remainder

• Subtract 4 from 39 and use the remainder

What is the mixed number form of 39/4?

• 9 and 1/4

• 9 and 3/4

• 9 and 2/4

• 9 and 4/4

What is the final distance that can be driven on 1/3 of a gallon?

• 9 and 3/4 miles

• 9 and 1/4 miles

• 9 and 2/4 miles

• 9 and 4/4 miles