# Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set: 22

$\frac{3}{4}\lt\frac{7}{8}$

#### Work Step by Step

To compare the values of $\frac{3}{4}$ and $\frac{7}{8}$, you first need to find the least common denominator. To do this, you first see if the greater of the two denominators can be divided by the lesser. Since 8 can be divided by 4 to get 2, you multiply $\frac{3}{4}$ by $\frac{2}{2}$ (which is 1 expressed as a fraction with a denominator of 2) to get $\frac{6}{8}$. You can compare this new fraction to $\frac{7}{8}$ since they now share a common denominator. Since $6\lt7$, $\frac{6}{8}\lt\frac{7}{8}$.

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