Answer
$\frac{1}{40}$
Work Step by Step
$\frac{7}{30} - \frac{5}{24}$
The least common denominator for the denominators 30 and 24 is 120.
To obtain denominators of 120, multiply the numerator and denominator of the first fraction by 4 and second fraction by 5
$\frac{7}{30} - \frac{5}{24}$ = $\frac{7*4}{30*4} - \frac{5*5}{24*5}$
$\frac{28}{120} - \frac{25}{120}$
Calculate difference of the numerators and put this difference over the least common denominator.
$\frac{28-25}{120}$ = $\frac{3}{120}$
Reduce to lowest form
$\frac{3}{120}$ = $\frac{1}{40}$
