Work out the difference between of ⅜ of 32 and ⅖ of 40

To determine the difference between three-eighths of 32 and two-fifths of 40, one must first calculate each fraction of the respective numbers. For three-eighths of 32, the calculation involves multiplying 32 by 3 and then dividing the result by 8. This yields a value that represents the portion of 32 specified by the fraction. Similarly, for two-fifths of 40, the process entails multiplying 40 by 2 and dividing by 5, resulting in the corresponding value for that fraction.

Once both values have been computed, the next step is to find the difference between them. This is achieved by subtracting the smaller value from the larger one. The outcome of this subtraction will provide the final answer, which reflects the difference between the two calculated fractions. Such mathematical operations are fundamental in the study of fractions and can be essential for students preparing for their GCSE examinations.

For those seeking assistance in mastering these concepts, engaging with a GCSE maths tutor can be highly beneficial. A tutor can provide personalized guidance, helping students to understand the underlying principles of fractions and arithmetic operations. This tailored support can enhance a student’s confidence and proficiency in mathematics, ultimately leading to improved performance in their academic assessments.