Understanding

Understanding refers to the ability to comprehend and interpret information or concepts. In this case, the student is verifying the outcome when two fractions are multiplied together. This task requires the student to have a deep understanding of fractions and multiplication.

Fractions are a fundamental concept in mathematics and represent a part of a whole. They consist of a numerator (top number) and a denominator (bottom number). Multiplication of fractions involves multiplying the numerators together and the denominators together.

By verifying the outcome of multiplying two fractions, the student is demonstrating their understanding of:

1. Fraction representation: The student should be able to identify and interpret the given fractions correctly, understanding that the numerator represents the number of parts and the denominator represents the total number of equal parts.

2. Multiplication concept: The student should understand that multiplication is a way to combine or repeat equal groups or quantities. In the case of fractions, multiplication involves combining the parts of each fraction to find a new fraction that represents the product.

3. Multiplication algorithm for fractions: The student should know the specific steps to multiply two fractions. These steps include multiplying the numerators together to find the new numerator and multiplying the denominators together to find the new denominator.

4. Simplification of fractions: After multiplying the fractions, the student should be able to simplify the resulting fraction if necessary. Simplification involves dividing both the numerator and denominator by their greatest common divisor to obtain the simplest form of the fraction.

By engaging in the process of verifying the outcome when two fractions are multiplied together, the student is actively using their understanding of fractions and multiplication. This task allows them to apply their knowledge and skills to solve mathematical problems involving fractions.