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8. An car can hold 8 1/4 gallons of fuel. It contains 4 5/6 gallons of fuel. How

much more fuel is needed to fill the car?

2 Answers

0 votes

Answer:

41/12 gallons

= 3 5/12 gallons

Explanation:

Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.

You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.

8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.

Then 4 5/6 becomes 29/6 with the same concept earlier.

So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.

33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.

29/6 becomes 58/12 because we multiplied the fraction by 2/2.

Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.

Since we have 99/12 and 58/12, we can subtract cleanly into

99 - 58 = 41

So the answer is 41/12

User Yasna
by
3.5k points
4 votes

Answer:

3 5/12

Explanation:

User Ridoy
by
3.6k points