How To Compare Fractions Using Cross Multiplication

Cross multiplication compares two fractions by multiplying numerators and denominators across; equal fractions yield equal products

Cross Multiplication is a method used to compare fractions by examining the products of their numerators and denominators. It's particularly useful for determining the relationship between two fractions and identifying whether they are equal or not.

To use Cross Multiplication to determine if fractions are equal:

  1. Multiply the numerator of the first fraction by the denominator of the second fraction.
  2. Similarly, multiply the numerator of the second fraction by the denominator of the first fraction.
  3. Compare the results of these multiplications. If the products are equal, then the fractions are equivalent.

For example, let's use Cross Multiplication to determine the missing value in the equation 2/3 = 4/?

  1. Multiply 4 (numerator of the second fraction) by 3 (denominator of the first fraction), resulting in 12.
  2. Then, multiply 2 (numerator of the first fraction) by ? (denominator of the second fraction).
  3. Since the fractions are equal, their cross multiplications must also be equal, so 4 × 3 = 2 × ?
  4. Solve for ? which gives us ? = 12/2 = 6.

Related Math Games