# Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 88

$\frac{1}{40}$

#### 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 $\frac{3}{120}$ = $\frac{1}{40}$

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