how do you divide mixed numbers?

Question

for example this one: 6 2/3 divided by 3 4/12

Answer 1

First, reduce down your whole number and fraction , then multiply the denominator by the whole number, and add the numerator:

6 2/3 becomes 20/3 (or 6 x 3= 18 +2 =20)
3 4/12 = 3 1/3 (reduced to lowest common denominator) or 10/3 (3 x 3= 9 +1 =10)
20/3 divided by 10/3 becomes 20/3 x 3/10 (this is reversed in order to multiply like numbers)
Cancel out the 3's to =20/1 x 1/10 =2/1 x 1/1 because
10 goes into 20 twice. Therefore,your answer is 2/1. Multiply across the top number or numerator (2 x 1); and multiply across the bottom or denominator (1 x 1). Your answer is 2 x1=2

Answer 2

Change 6 2/3 to an improper fraction by multiplying the bottom number (3) times the whole number (6) then add the top number (2) and keep the bottom number of your fraction, so the new improper fraction is 20/3 then do that to the second fraction 40/12. Then do the reciprocal, which means take 20/3 and multiply (not divide) 12/40. Then it's just an easy multiplication problem.

I'm a math teacher.

Answer 3

In both numbers, multiply the bottom number of the fraction with the whole number and add the top number of the fraction to that answer. All of this now becomes the top number over the original bottom number. For example, 6 2/3 would be- 3x6=18, 18+2=20. Your first numer is 20/3. Repeat this with the next fraction. That fraction would be 12x3=36, 36+4=40. That new number is 40/12, or 10/3.
Pick one of the new fractions and use its reciprocal. In other words, flip it over. Let's flip the first number. It was 20/3, let's make it 3/20. Leave the second number the same. Multiply the two numbers. Your answer is 30/60ths, or 1/2.
Hope that answers your question.

Answer 4

in case you have a mix of entire and fractional numbers in a cost they are reported as flawed fractions. the subsequent step is to alter them into"suitable heavy" fractions . try this by multiplying the whole quantity by the fraction denominator (the bit that supplies it that's call) then including the numerator(the suitable variety of the fraction which tells you the way many areas you have) Then positioned that entire above the denominator. look at an common one first Say a million a million/2 which we can see is 3 halves yet arithmetic will provide 2 x a million + a million = 3 positioned 3 over 2 >> 3/2 (3 halves,a suitable heavy fraction) attempt 2 3/4 >>> 4x2+3 = 11,>>>> 11/4 (11 quarters or fourths) Now the question became 9 8/9 divided by 2 3/4 9 8/9 = 9 x 9 + 8 = 89/9 2 3/4 = 4 x 2 + 3 = 11/4 To divide 2 fractions turn 2nd fraction the different way up and multiply out 89/9 divide by 11/4 >>> 89/9 x 4/11>>>89x4 divided by 9x11 >>>>356/ninety 9 >>>>3 57/ninety 9 So answer is 3 57/ninety 9 (3 and 57 ninetynineths) sorry yet can't discover divide image on myPC in basic terms by the way a good calculator would have fractional facility (a b/c ) that's impressive for checking long hand calcs.good success

Answer 5

First change to a improper fraction
6 2/3 is 20/3
3 4/12 is 3 1/3 is 10/3

(a/b) / (c/d) = ad/bc
(20/3) / (10/3) ***Threes will cross cancel to leave 1's and 10 goes into 20 1 time to leave 2/1

or long way
(20 x 3) / (10 x 3)
600/300
2

Answer 6

1) change both of them into improper fractions (i.e. 20/3 divided by 10/3
2) flip the second set of fraction so that you can multiply them (i.e. 20/3 multiply 3/10)
3) multiply them together (and you get 2)

this is edited. i noticed a calculation error in my earlier calculation

Answer 7

multiply by the recipricol......ex. 1/2 / 1/2 is the same as 1/2 x 2

Answer 8

turn both into a unproper fraction then flip the second fraction and then multiply.