Fraction Multiplication And Cancelation

Fraction Multiplication Here are some fraction multiplication problems Can you tell how to multiply fraction from these examples?

Recall that multiplication by a whole number can be represented as repeated addition. For example, 4 5 = You can multiply a whole number by a fraction using the same method. + + = 3 = 1414 __ =

______ 3 4 __ There is another way to multiply with fractions. Remember that a whole number can be written as an improper fraction with 1 in the denominator. So 3 =. 3 1 __ == Multiply numerators Multiply denominators Notice that when you multiply a proper fraction and a number greater than 1, the product is between the factors.

1 3 __ = 1 12 __ One way to find of is to make a model. Find of.

Multiplying Fractions

Multiplication Multiply numerator by numerator And denominator by denominator

Try some. Multiply the following:

Answers Multiply the following:

Mixed Numbers Because of the order of operations, Mixed numbers cannot be multiplied as is Change mixed numbers to improper fractions, then multiply.

Try some Change any whole or mixed numbers to improper. Multiply straight across. Simplify answers

Answers Change any whole or mixed numbers to improper. Multiply straight across. Simplify answers

Cancelling Reduce before you multiply

Canceling Reducing before multiplying is called canceling. ICK! Instead think the following in your head.

Try one Say “--- goes into ____ this many times.” As you cross each number out and write what is left after canceling above the number.