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:

$\dfrac{31}{6} \ : \ \dfrac{5}{9} = \dfrac{31}{6}\ \cdot \ \dfrac{9}{5} = \dfrac{31}{2}\ \cdot \ \dfrac{3}{5} = \dfrac{93}{10}$

Let convert the improper fraction to mixed number:

93/10 = 9 3/10

She was driven a total of 9 3/10 hours