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Multiplying fractions is easy: you multiply the top numbers(numerators) and multiply the bottom numbers(denominators). For instance: When possible, you reduce. In this case, however, nothing reduces, because 8 and 45 have no factors in common. If you're not sure, you can always do prime factorization: Nothing cancels. Copyright © Often, though, something will cancel: Put each number in prime-factored form and cancel common factors: Another way…cancel common factors as you go.. http://www.mathsisfun.com/fractions_multiplication.html 2 3 1 3 7 4 2 1 1 1

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Dividing fractions is just about as easy; there's just one extra step. When you divide by a fraction, the first thing you do is "flip-n-multiply". That is, you take the second fraction, flip it upside-down, and multiply it by the first fraction. (The upside- down fraction is called the reciprocal). For instance: Example 1 Example 2: 2 1

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Mixed Number - A number, such as consisting of a whole number and a fraction. A mixed number is just the sum of a whole number and a fraction. Improper Fraction - A fraction in which the numerator is larger than the denominator. Converting from mixed number to improper fraction: Mixed numbers must be converted to improper fractions or decimals before doing ANY MULTIPLICATION OR DIVISION OPERATIONS on them. A fraction can be converted into a decimal by dividing: Numerator ÷ Denominator

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Example: What is 1 1 / 2 x 2 1 / 5 ? Steps: 1.convert to Improper Fractions 2.Multiply the Fractions 3.convert the result back to Mixed Fractions Example: What is 1 3 / 8 × 3 ? = 11 / 8 × 3 / 1 = 33 / 8 = 4 1 / 8

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http://www.mathsisfun.com/fractions_division.html

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4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.

4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.

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