What is #1/2 -: 3/4#?
Because you use KFC... Keep Flip Change.
You keep the first fraction the same
then you flip the other fraction
Finally, you change the symbol to a times
You then multiply the fraction getting
A fraction is actually a division problem so to divide two fractions set it up as a division problem or complex fraction. This makes the most sense.
Now multiply both the top fraction and the bottom fraction by the inverse of the bottom fraction. This makes sense because multiply by
Also multiplying by the inverse equals one
Dividing a fraction by a fraction makes sense and is easier to remember, even thought it takes longer.
Here is another approach to understand WHY the method of Multiply and Flip works to divide by a fraction, rather than just HOW to do it.
Quarters are obtained when a whole number is divided into four equal pieces, each is a quarter.
To find the number of quarters there are, multiply a number by
However, when dividing by
(or how many times can
That means, once you have the total number of quarters, divide them into groups of three's - each group will be 'Three' quarters.
You do this by dividing the total number of quarters by
(ie. once with a bit left over.)
In each case we are multiplying by
Hence the simple rule of Multiply and flip.