Answer
$\frac{103}{180}$
Work Step by Step
Find the least common denominator. Find the prime factorization and eliminate repeated factors.
$30=2\times3\times5$
$36=/\!\!\!2\times2\times/\!\!\!3\times3$
LCD=$2\times3\times5\times2\times3=180$
Use the LCD to convert to like fractions.
$\frac{29}{36}-\frac{7}{30}=\frac{29\times5}{36\times5}-\frac{7\times6}{30\times6}=\frac{145}{180}-\frac{42}{180}=\frac{145-42}{180}=\frac{103}{180}$
