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Learn how to multiply fractions with examples, including mixed numbers. Understand the concept of canceling to simplify fractions. Practice problems provided for better understanding.
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Fraction Multiplication And Cancelation
Fraction Multiplication • Here are some fraction multiplication problems • Can you tell how to multiply fraction from these examples?
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. • Instead think the following in your head.
Canceling on paper • Rules: One factor from any numerator cancels with like factor from the denominator.
Try one • Say “--- goes into ____ this many times.” • As you cross each number out and write what is left after canceling above the number.
Answer • Say “--- goes into ____ this many times.” • As you cross each number out and write what is left after canceling above the number.
Try one more • Make whole and mixed numbers improper • Cancel if you can • Multiply Numerators and denominators straight across. • Simplify
Answer • Make whole and mixed numbers improper • Cancel if you can • Multiply numerators and denominators straight across. • Simplify