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 crossmultiply, 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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