Final answer:
Priya's calculation of 40% of 75 is correct. By expressing 40% as the fraction 2/5 and multiplying it by 75, she gets the answer of 30, which is the correct value for 40% of 75.
Step-by-step explanation:
To determine if Priya’s calculation of 40% of 75 using the fraction 2/5 is correct, we can first understand what a percentage represents. A percentage is a way of expressing a number as a fraction of 100. So, 40% means 40 out of 100, which can be simplified to 2/5 since both the numerator and the denominator can be divided by 20.
Now, to find 40% of 75, we can multiply 75 by the fraction 2/5:
75 × (2/5) = (75 × 2) / 5
= 150 / 5
= 30
Therefore, Priya’s calculation does give the correct value for 40% of 75, which is 30. This method will work with any percentage and number, as percentages can always be converted to fractions or decimals to perform the calculation.