SOLUTION: Below is the following math problem that had a different answer than mine: "What is 15/4?" My answer was 3 remainder three, but the official answer was 3 and 3/4. I am wonder

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Below is the following math problem that had a different answer than mine: "What is 15/4?" My answer was 3 remainder three, but the official answer was 3 and 3/4. I am wonder      Log On


   



Question 1202244: Below is the following math problem that had a different answer than mine:
"What is 15/4?"
My answer was 3 remainder three, but the official answer was 3 and 3/4. I am wondering why the denominator of 4 was listed as a part of the correct answer.
My email address is docmaine@yahoo.com(.)

Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

They do not ask you "divide with a remainder".


     They ask "what is the value?"


The value is  15%2F4 = %2812%2B3%29%2F4 = 12%2F4 + 3%2F4 = 3 + 3%2F4 = 33%2F4.     ANSWER   

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Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

"3 remainder 3" is a valid answer in the format "quotient remainder".

It seems your teacher wants a mixed number instead.

Here's one way to go from 15/4 to 3 & 3/4.
15/4 = (12+3)/4
15/4 = 12/4 + 3/4
15/4 = 3 + (3/4)
15/4 = 3 & 3/4

Another way is to use a calculator to find that 15/4 = 3.75
Round that result down to the nearest whole number to get the quotient 3.

Imagine you had 15 cookies and 4 friends. Each friend gets 3 whole cookies (quotient), so they eat 3*4 = 12 cookies. That leaves 15-12 = 3 left over (remainder)

Another example:
You have 21 cookies and 8 friends
21/8 = 2 remainder 5 = 2 & 5/8
Each person gets 2 whole cookies. There are 5 left over.
If those 5 are split amongst the 8 people, then each person gets an additional 5/8 of a cookie.