mike car traveled 237 miles on 7 9/10 gallons of gas, how many miles per gallon did he achieve? i multiply 7 by 10 and add 9 which my equation 237/1 x 79/10 and then got stuck, please help
You need to divide 237 by 7 9/10.
Unless your directions insist you figure this out with fractions, the easiest way is by using a decimal.
237 / 7.9 = 30 miles per gallon
To find the miles per gallon that Mike achieved, you need to divide the total miles traveled by the total gallons of gas used. Let's break down the steps to solve the problem:
1. Convert the mixed number, 7 9/10, to an improper fraction.
- Multiply the whole number, 7, by the denominator, 10: 7 * 10 = 70.
- Add the numerator, 9, to the result: 70 + 9 = 79.
- The improper fraction is 79/10.
2. Now, you can divide the total miles traveled, 237, by the total gallons of gas used, 79/10.
- To divide fractions, you should multiply the dividend (top number) by the reciprocal of the divisor (bottom number). So, the equation becomes: 237 * (10/79).
3. Calculate the result:
- Multiply the numerator, 237, by the reciprocal of the denominator, 10/79:
237 * (10/79) = (237 * 10) / 79 = 2370 / 79 = 30.
Therefore, Mike achieved approximately 30 miles per gallon (mpg) on this trip.