Mykenzie M. answered • 08/11/21
High School Tutor Specializing in Algebra and NYS Regents Prep
Hi Logan! :)
The formatting of this question on the platform looks a little wonky, but to me it looks like the question is asking you to solve for the variable "a." I cannot tell if this is a number 23 over the 5/4 or if it is the fraction 2/3 over the 5/4 (there is a space between the two and the three so I am not sure if you meant to put a fraction bar) so — I will go over both of them.
Case 1: 2/3/5/4 = 6/a
There are a few ways to approach this problem. You can either cross-multiply to solve or use the common-denominator approach. the cross-multiplcation is probably the easiest way. In order to do that:
1) Multiply each term that is across from each other. 2/3 is across from a and 6 is across from 5/4. Multiply together to get 2/3a=30/4
2) Divide by 2/3 to get the a term alone. This comes out to a=45/4
Case 2: 23/5/4= 6/a
This can be approached the same way. Cross multiply just like in case 1 and find the variable there. This comes out to be a= 15/52
Case 1: 45/4
Case 2: 15/52.
I hope this helped and let me know if you have any other questions!
