First of all, i will start by comparing the given values. That will be;
7/2 meters=$231/4
1 meter= x
I represented the unknown value by x. Anyway, you have to cross and multiply. SO 7/2 multiplies x to give you 7/2x and 1 multiplies 231/4 to give you 231/4. That will be;
7/2x=231/4
Divide the both sides by 7/2.
7/2x÷7/2=231/4÷7/2
When dividing fractions, the division sign changes to a multiplication sign and the fraction on the right turns upside down. So;
x=231/4 x 2/7
x=231/14
x=$33/2.
Hope i helped.