Cross Multiply and Compare

Worksheet Description

The example on this worksheet walks you through how to compare a pair of fractions.  It will get you in the habit of cross multiplying and comparing. This worksheet is a mathematics educational resource designed to teach students how to compare fractions by using cross multiplication. It provides an example at the top where two fractions are compared by multiplying the numerator of one fraction by the denominator of the other and vice versa. The worksheet then lists several pairs of fractions for students to apply this method to, with spaces provided for them to write the correct inequality sign based on their calculations. The bottom section of the worksheet has a self-assessment feature where students can gauge their own understanding with smiley faces ranging from happy to sad.

The worksheet is trying to teach students the concept of comparing fractions without finding a common denominator, by introducing them to the technique of cross multiplication. This method helps students understand which of two fractions is greater by comparing the products of the numerators and denominators across the fractions. It fosters the development of critical thinking skills as students must determine the relationship between the fractions (greater than, less than, or equal to). This skill is fundamental in understanding the ordering and equivalence of fractions, which is essential for more advanced mathematical concepts.