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How To Find Two Fractions That Are Equivalent to Another Fraction

Equivalent fractions are fractions are equal to each other but have different numerators and denominators. The fractions 1/2 and 2/4, for example, are equivalent fractions. To illustrate this point, say you fold one sheet of paper into two equal halves and fold another sheet of paper (of the same size) into equal fourths. After shading in one of the sections on the paper that is folded in half, and shading in two of the sections on the paper folded into fourths, you will see that shaded and non-shaded amount on both papers is the same. Finding fractions equivalent to another fraction requires simple multiplication.

Instructions

- 1
  Write down the starting fraction, for example, 3/4.
  
  The top (or first) number of the fraction is the "numerator." The bottom (or last) number of the fraction is the "denominator." In this example the number 3 is the numerator, and the number 4 is the denominator.
- 2
  Multiply the starting fraction's numerator and denominator by a random number (2, for instance).
  
  For example:
  
  3 * 2 = 6
  
  4 * 2 = 8
  
  The result you get when you multiply the starting fraction's numerator by the random number serves as the equivalent fraction's numerator. The result you get when you multiply the starting fraction's denominator by the same random number serves as the equivalent fraction's denominator. In this example, 3/4 is equivalent to 6/8.
- 3
  Repeat Step 2 using a different random number to find another fraction which is equivalent to the starting fraction.
  
  For example, if 5 is selected as the random number:
  
  3 * 5 = 15
  
  4 * 5 = 20
  
  In this example, 3/4 is also equivalent to 15/20.

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