Question

calculate.
(1) $\frac{5}{6} - \frac{3}{4} = $
(2) $\frac{2}{3} - \frac{5}{9} = $
(3) $\frac{5}{6} - \frac{3}{8} = $
(4) $\frac{3}{8} - \frac{1}{12} = $
(5) $\frac{7}{10} - \frac{9}{20} = $
(6) $1\frac{1}{4} - \frac{3}{4} = $
(7) $3\frac{3}{8} - 1\frac{7}{8} = $

Explanation:

(1)

Step1: Find common denominator (12)

$\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}$, $\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$

Step2: Subtract numerators

$\frac{10}{12}-\frac{9}{12}=\frac{10 - 9}{12}=\frac{1}{12}$

Step1: Find common denominator (9)

$\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}$

Step2: Subtract numerators

$\frac{6}{9}-\frac{5}{9}=\frac{6 - 5}{9}=\frac{1}{9}$

Step1: Find common denominator (24)

$\frac{5}{6}=\frac{5\times4}{6\times4}=\frac{20}{24}$, $\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}$

Step2: Subtract numerators

$\frac{20}{24}-\frac{9}{24}=\frac{20 - 9}{24}=\frac{11}{24}$

Answer:

$\frac{1}{12}$

(2)