1.

Write the numbers HORIZONTALLY (across the page).
Go to the NEXT step...


2.

ARE THERE ANY WHOLE OR MIXED NUMBERS?

YES: Continue below...



Change whole or mixed numbers to improper fractions.
 Write a WHOLE NUMBER OVER ONE in the denominator.
(Any number divided by one is still itself.)  To change a MIXED NUMBER to an improper fraction:
MULTIPLY THE DENOMINATOR
(bottom number = the number of pieces in each whole thing) TIMES THE WHOLE NUMBER; THEN ADD THE NUMERATOR (top number = the number of extra pieces)
Write this total OVER the original denominator (the total number of thosesize pieces in all).
 Repeat with the other fraction.
Go to the NEXT step...


3.

MULTIPLY BY THE RECIPROCAL

 Copy the FIRST FRACTION exactly;
 Change the division sign to MULTIPLICATION;
 Invert the SECOND FRACTION. (flip it upsidedown: ORIGINAL numerator goes on the bottom...)
Go to the NEXT step...


4.

CAN YOU CANCEL?

YES: Continue below...



SIMPLIFY:
Eliminate common factors.
 Divide ANY single numerator and ANY single denominator by the SAME NUMBER (a common factor);
 Cross out the original and write the new numbers for each (remember to write the amount that's LEFT and not the common factor by which you'd divided).
 Repeat as many times as possible; by sure to use one numerator and one denominator each time.
Go to the NEXT step...


5.

DO the Multiplication:

MULTIPLY ACROSS:
 The PRODUCT of the NUMERATORS is the top number of the answer;
 The PRODUCT of the DENOMINATORS is the bottom number of the answer.
Go to the NEXT step...


6.

IS THE FRACTION IN LOWEST TERMS?

NO: Continue below...



Improper fraction:
(Top number is greater than the bottom
number.)
 Divide the TOP BY the BOTTOM;
 Write any
remainder as the numerator and use the same denominator.
Simplify the fraction:
 Divide both the numerator and the denominator by the same number.
 Repeat
until the only common factor is one.
Go to the NEXT step...


7.

Check your answer.

