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How to Compare Fractions by Cross Multiplying Numerators

Math can be challenging enough with whole numbers, but fractions can bring added difficulty to an equation. Whether for a math class or real-world circumstances, you are frequently required to compare two fractions. Use the cross-multiplication method to compare fractions with ease.

Instructions

    • 1

      Identify the correct parts of the two fractions you are comparing. The denominator describes how many parts are in the whole. The numerator describes how many parts of the whole are available. The top number of the first fraction is numerator 1 and the top number of the second fraction is numerator 2. The bottom numbers are denominators 1 and 2.

    • 2

      Cross-multiply numerator 1 with denominator 2. The product is called the first cross-product. Repeat the multiplication process with numerator 2 and denominator 1 to find the second cross product.

    • 3

      Compare the cross-products. The fractions are equivalent if the cross-products are equal. If the first cross-product is larger, the first fraction is larger. If the second cross-product is larger, then so is the second fraction.

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