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Fraction Operations Lessons

Multiply Fractions: Learn

To Multiply Fractions:

  • Multiply the numerators of the fractions
  • Multiply the denominators of the fractions
  • Place the product of the numerators over the product of the denominators
  • Simplify the Fraction

Example: Multiply 2/9 and 3/12

2
9
*
3
12
=
2 * 3
9 * 12
=
6
108
=
1
18

That last step can be tough, simplifying a fraction with big numbers. To keep the numbers small and easy to work with, you can cancel factors before multiplying. It's the same as simplifying a fraction, but you can choose the numerator and denominator of either fraction.

Example: Multiply 2/9 and 3/12, but first simplify the problem by canceling a factor of 3 out of the 3 and 9, and also canceling out a factor of 2 from the 2 and 12.

1 2
3 9
*
3 1
12 6
=
1 * 1
3 * 6
=
1
18

Multiply Fractions: Practice

What is the product?

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State the answer as a simplified fraction, and not a mixed number.

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