The Parent-Teacher Association made 11 3/4 gallons of fruit punch for Parents' Night. Parents and teachers drank only 3 1/12 gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left?

Question

Write your answer as a fraction or as a whole or mixed number.

gallons

Answer 1

To find the amount of fruit punch left, we need to subtract the amount that was drank from the total amount made.

Total amount made = 11 3/4 gallons
Amount drank = 3 1/12 gallons

To subtract fractions, we need a common denominator. The least common multiple of 4 and 12 is 12.

11 3/4 = 11 * 4/4 + 3/4 = 44/4 + 3/4 = 47/4

3 1/12 = 3 * 12/12 + 1/12 = 36/12 + 1/12 = 37/12

Now we can subtract the fractions:

47/4 - 37/12

To subtract, we need to find a common denominator, which is 4 * 12 = 48.

47/4 = 47 * 12/12 * 4 = 564/48
37/12 = 37 * 4/4 * 12 = 148/48

Now we can subtract:

564/48 - 148/48 = (564 - 148)/48 = 416/48

We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 8:

416/48 = (416/8) / (48/8) = 52/6

The fraction 52/6 can be simplified further by dividing the numerator and denominator by their greatest common divisor, which is 4:

52/6 = (52/4) / (6/4) = 13/3

So, the Parent-Teacher Association had 13/3 gallons (or 4 1/3 gallons) of fruit punch left.

Answer 2

WRONG

Answer 3

Apologies for the mistake. Let's correct it.

Total amount made = 11 3/4 gallons
Amount drank = 3 1/12 gallons

To subtract fractions, we need a common denominator. The least common multiple of 4 and 12 is 12.

11 3/4 = 11 * 4/4 + 3/4 = 44/4 + 3/4 = 47/4

3 1/12 = 3 * 12/12 + 1/12 = 36/12 + 1/12 = 37/12

Now we can subtract the fractions:

47/4 - 37/12 = (47 * 3)/(4 * 3) - 37/12 = 141/12 - 37/12 = 104/12

We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

104/12 = (104/4) / (12/4) = 26/3

So, the Parent-Teacher Association had 26/3 gallons (or 8 2/3 gallons) of fruit punch left.