Question

try to reduce in one step.
(1) \\(\frac{6}{15}=\\) \\(\frac{2}{5}\\) (8) \\(\frac{12}{27}=\\)
(2) \\(\frac{6}{18}=\\) \\(\frac{1}{3}\\) (9) \\(\frac{21}{28}=\\)
(3) \\(\frac{15}{20}=\\) \\(\frac{3}{4}\\) (10) \\(\frac{20}{30}=\\)
(4) \\(\frac{14}{21}=\\) \\(\frac{2}{3}\\) (11) \\(\frac{20}{32}=\\)
(5) \\(\frac{12}{22}=\\) \\(\frac{6}{11}\\) (12) \\(\frac{12}{36}=\\)
(6) \\(\frac{6}{24}=\\) \\(\frac{1}{4}\\) (13) \\(\frac{24}{36}=\\)
(7) \\(\frac{15}{25}=\\) \\(\frac{3}{5}\\) (14) \\(\frac{30}{36}=\\)

Explanation:

Step1: Find GCD of 12 and 27

GCD(12,27)=3

Step2: Divide numerator/denominator by 3

$\frac{12\div3}{27\div3}=\frac{4}{9}$

Step3: Find GCD of 21 and 28

GCD(21,28)=7

Step4: Divide numerator/denominator by 7

$\frac{21\div7}{28\div7}=\frac{3}{4}$

Step5: Find GCD of 20 and 30

GCD(20,30)=10

Step6: Divide numerator/denominator by 10

$\frac{20\div10}{30\div10}=\frac{2}{3}$

Step7: Find GCD of 20 and 32

GCD(20,32)=4

Step8: Divide numerator/denominator by 4

$\frac{20\div4}{32\div4}=\frac{5}{8}$

Step9: Find GCD of 12 and 36

GCD(12,36)=12

Step10: Divide numerator/denominator by 12

$\frac{12\div12}{36\div12}=\frac{1}{3}$

Step11: Find GCD of 24 and 36

GCD(24,36)=12

Step12: Divide numerator/denominator by 12

$\frac{24\div12}{36\div12}=\frac{2}{3}$

Step13: Find GCD of 30 and 36

GCD(30,36)=6

Step14: Divide numerator/denominator by 6

$\frac{30\div6}{36\div6}=\frac{5}{6}$

Answer:

(8) $\frac{4}{9}$
(9) $\frac{3}{4}$
(10) $\frac{2}{3}$
(11) $\frac{5}{8}$
(12) $\frac{1}{3}$
(13) $\frac{2}{3}$
(14) $\frac{5}{6}$