Question

Michelle found that 5/6 of a gallon of gasoline filled only 3/7 of a lawn tractors gas tank. How many gallons of gas does the tractors gas tank hold?

Answer 1

The tractor's gas tank holds approximately 35/18 gallons of gas.

Step-by-step explanation:

To find out how many gallons of gas the tractor's gas tank holds, we can set up a proportion using the given information:

{{5/6}} gallon fills {{3/7}} of the tank

Let's use 'x' to represent the number of gallons in the tank:

{{5/6}}/{{3/7}} = x/{{1}}

Cross-multiplying, we get:

{{5/6}} × {{1}} = x × {{3/7}}

Simplifying, we have:

x = {{5/6}} × {{7/3}} = {{35/18}} gallons

Therefore, the tractor's gas tank holds approximately {{35/18}} gallons of gas.