Brent divided 3 1/5 by a number and got 4 1/2. What number did he divide by? Please Answer
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
Brent divided 3 1/5 by a number and got 4 1/2.
Determine the number that Brent divided.
Solution:
In order to determine the number that Brent divided, we must change first the mixed numbers into an improper fraction. To do so, we multiply the whole number to the numerator then add the product to the numerator.
3 1/5
= 16/5
4 ½
=9/2
Now we can equate the given values in a representation as ,
16/5/x = 9/2
To find for the missing number, x, we must first multiply x on both sides of the equation so that we can cancel out 16/5/x.
16/5= 9/2x
Now to find the value of x, we simply need to multiply 2/9 on both sides of the equation. By doing this we'll cancel out 9/2 x
(16/5)(2/9) = 9/2 x (2/9)
32/45 = x
Final answer:
x = 32/45