## Algebra 1

$-\frac{1}{12}$
Convert all the fractions to like fractions with the least common denominator of 12. To find the difference of like fractions, subtract the numerators and retain the common denominator. $1-\frac{1}{2}-\frac{1}{3}-\frac{1}{4}\longrightarrow$ change the denominator of each fraction to 12 $=1-\frac{1\times6}{2\times6}-\frac{1\times4}{3\times4}-\frac{1\times3}{4\times3}\longrightarrow$ simplify $=1-\frac{6}{12}-\frac{4}{12}-\frac{3}{12}\longrightarrow$ subtract each term working left to right $=\frac{6}{12}-\frac{4}{12}-\frac{3}{12}$ $=\frac{2}{12}-\frac{3}{12}$ $=-\frac{1}{12}$