Question

How do you evaluate \[\dfrac{{13}}{{15}} \times 60\] ?

Answer 1

Hint: To solve this question, we first need to multiply the fraction with the whole number. This is because in this case, finding the decimal value of the fraction will take much longer. It is advised to find out the value of a fraction as a last resort, or as a final step. After performing the multiplication, the improper fraction can be simplified to obtain the final quotient.

Complete step by step solution:
We need to find the product of \[\dfrac{{13}}{{15}}\] with \[60\] . For this, the first thing we need to do is to multiply the numerator of the fraction with the given whole number. As a result, we will obtain an improper fraction, since the product of \[13\] and \[60\] is certainly going to be larger than \[15\] .
Now, multiplying \[\dfrac{{13}}{{15}}\] with \[60\] , we will get:
  \[\dfrac{{13}}{{15}} \times 60 = \dfrac{{780}}{{15}}\]
To further simplify the obtained improper fraction, we will divide \[780\] by \[15\] . On performing the calculations, we will obtain the quotient to be \[52\] . For this question, the quotient will be the final answer. Thus, on multiplying \[\dfrac{{13}}{{15}}\] with \[60\] , we will obtain the answer as \[52\] .
So, the correct answer is “ \[52\] ”.

Note: Alternatively, we can first divide \[60\] by \[15\] , which will give us the answer \[4\] . Now, we can further multiply the obtained quotient with the remaining term in the numerator, i.e., \[13\] , to obtain the same answer that we obtained in the previous method, i.e., \[52\] . This approach will produce the results faster, but it would require a deeper clarity of the concept of fractions, and high accuracy while performing calculations.