DIVIDE FRACTIONS Question 2

A fraction is written as:
numerator
denominator


11 =
23

Step 1:To divide fractions we create a complex fraction by putting the first fraction in thenumerator 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 thedenominator, and the denominator in the numerator (1/3 becomes 3/1). We then multiply the first fraction by thisnew second fraction and we get the following:
1 x 3
21
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 = 3AND1 = 2
2636

3
63
----= --
22
6
Step 6: The answer can also be written as:
3 = 2 + 1 = 2 + 1 = 1 + 1 = 1 1
222222
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.
11 =3OR1 1/2
232


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