Question

Nicole used a total of 5 1/6 gallons of gas while driving her car. Each hour she was driving, she used 5/9 gallons of gas what was the total number of hours she was driving?

Write answer as a mixed number in simplest form.

Answer 1

Let's write the total of gallons in improper fraction:

Step 1: Multiply the denominator by the whole number

6 × 5 = 30

Step 2: Add the answer from Step 1 to the numerator

30 + 1 = 31

Step 3: Write answer from Step 2 over the denominator

5 1/6 = 31 / 6

Let's divide the total gallons by what she used each hour to get the number of hours:

`(31)/(6) \ : \ (5)/(9) = (31)/(6)\ \cdot \ (9)/(5) = (31)/(2)\ \cdot \ (3)/(5) = (93)/(10)`

Let convert the improper fraction to mixed number:

93/10 = 9 3/10

She was driven a total of 9 3/10 hours