Question
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?
Write your answer as a fraction or as a whole or mixed number.
gallons
Write your answer as a fraction or as a whole or mixed number.
gallons
Answers
GPT 3.5
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.
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.
WRONG
GPT 3.5
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.
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.