will you divide this for me?

Question

the question is 2 and 1 8th divided by 3

 

Answer 1

First: convert 2 1/8 unto an improper fraction.

         Multiply 8 by 2, then add 1, and put that number over 8 (this shows exactly how many 8ths you have)

          You should wind up with 17/8

Now: Remember that when you divide fractions, you actually multiply the first number (17/8) by the recipricol (opposite) of the opposite....the opposite of 3 is 1/3 (3/1 becomes 1/3)

                   17            1

                   ---     X    ---       =

                    8             3

Finally, to solve, just multiply straight across the numerator and the denominator:

 17 X 1                  17

--------       =        ----

8 X 3                    24  

 

Final answer: 17/24

Answer 2

2 1/8 / 3 Turn 2 1/8 into an improper fraction, Whole number = 2 Numerator = 1 Denominator = 8 top = whole number x denominator + numerator bottom = denominator top: (2)x(8) + (1) = 17 bottom = 8 new improper: (17/8) Take the 3 and put it over a 1 to make a fraction (3/1) In order to divide fractions we multiply the first fractions by the second fraction’s reciprocal Reciprocal of 3/1 = 1/3 So… (17/8) / (3/1) becomes (17/8) x (1/3) When multiplying fractions you can multiply across the top to get new numerator, same for denominator Numerator: (17) x (1) = 17 Denominator: (8) x (3) = 24 Answer = 17/24, this will not reduce, and is a proper fraction as is, so you are done 17/24