There were 80 guests at a party. Each guest ate 3/1/4 pieces of pizza. How many pieces of pizza did the guests eat altogether?
The fraction provided, "3/1/4," is likely a mixed number written in an unconventional way. Typically, a mixed number is written with the whole number first, followed by the fractional part. Assuming that's what was intended, it should be written as "3 1/4," which means each guest ate 3 whole pieces plus 1/4 of a piece.
To find out the total number of pieces eaten by all guests, you need to multiply the amount each guest ate by the total number of guests.
First, convert the mixed number to an improper fraction. The mixed number 3 1/4 represents 3 whole pieces and 1/4 of a piece. To convert it:
3 1/4 = 3 + 1/4 = (3 × 4)/4 + 1/4 = (12/4 + 1/4) = 13/4
Next, multiply this fraction by the number of guests to find the total pieces of pizza eaten:
(13/4) pieces/guest × 80 guests = 1040/4 pieces
Now, divide 1040 by 4 to find the total number of pieces:
1040/4 = 260 pieces
So the guests ate a total of 260 pieces of pizza altogether.