Fill in the blank to make equivalent rational expressions. (6x)/(2x-7)=(square )/(10x-35)

To make the two rational expressions equivalent, we need to find a value for the numerator of the second fraction that makes it equal to the first fraction.<br /><br />Given:<br />$\frac {6x}{2x-7}=\frac {\square }{10x-35}$<br /><br />We can see that the denominator of the second fraction is 5 times the denominator of the first fraction. Therefore, to make the two fractions equivalent, the numerator of the second fraction should also be 5 times the numerator of the first fraction.<br /><br />So, the numerator of the second fraction should be $5 \times 6x = 30x$.<br /><br />Therefore, the equivalent rational expression is:<br />$\frac {6x}{2x-7}=\frac {30x}{10x-35}$