You can create an equivalent fraction with a larger denominator by multiplying the numerator and denominator of a fraction by the same number.

Example 2: To write a fraction equivalent of that shows how
  many girls there are in a class of 21 students:
  • Set up the fractions side by side so you can make a fraction equivalent to .
  • Find a number that the original denominator 7 can be multiplied by to equal the new denominator 21.
    7 × 3 = 21
  • Write next to the original fraction , because the fraction is the same as 1 whole.

Remember, any number multiplied or divided by 1 is equal to itself.

  • Multiply the numerator 4 by 3 and put the product in the numerator space. 4 x 3 = 12

The fraction is equivalent to . In the class where of the students are girls, 12 of the 21 total students are girls.

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