DIVIDE FRACTIONS Question 2

A fraction is written as:
numerator
denominator


1  ÷   1  =
2       3

Step 1:To divide fractions we create a complex fraction by putting the first fraction in the numerator and the second fraction in the denominator, and we get the following:
 1 
 2 
----
 1 
 3 
Step 2: We then take the second fraction and create a new second fraction by putting the numerator in the denominator, and the denominator in the numerator (1/3 becomes 3/1). We then multiply the first fraction by this new second fraction and we get the following:
1  x  3
2      1
Step 3:To multiply fractions we cross-multiply, and can write the following:
1 x 3
2 x 1
Step 4: Now, we can multiply the 2 numbers in the numerator and in the denominator of our new fraction and we get the following:
3
2
Step 5: As a proof of our answer we can say:
1 = 3  AND  1 = 2
2    6             3    6

 3      
 6        3
----  = --
 2        2
 6
Step 6: The answer can also be written as:
3 = 2 + 1 = 2 + 1 = 1 + 1 = 1 1
2       2        2    2           2        2
Note: The fraction 2/2 is equal to 1 because the numerator 2 and the denominator 2 are the same.
Conclusion: We started out with two fractions and now have a whole number and a fraction.
1
  ÷   1  = 3 OR 1 1/2
2       3     2


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