Question

d197b
(15) \\(\frac{16}{40}=\\) (22) \\(\frac{42}{56}=\\)
(16) \\(\frac{21}{42}=\\) (23) \\(\frac{12}{60}=\\)
(17) \\(\frac{15}{45}=\\) (24) \\(\frac{36}{60}=\\)
(18) \\(\frac{12}{48}=\\) (25) \\(\frac{56}{64}=\\)
(19) \\(\frac{40}{50}=\\) (26) \\(\frac{15}{65}=\\)
(20) \\(\frac{44}{52}=\\) (27) \\(\frac{51}{66}=\\)
(21) \\(\frac{48}{54}=\\) (28) \\(\frac{15}{75}=\\)
d198a
reduction 4
try to reduce in one step.
(1) \\(\frac{12}{16}=\\) (8) \\(\frac{24}{26}=\\)
(2) \\(\frac{9}{18}=\\) (9) \\(\frac{14}{28}=\\)
(3) \\(\frac{10}{20}=\\) (10) \\(\frac{18}{30}=\\)
(4) \\(\frac{15}{21}=\\) (11) \\(\frac{12}{32}=\\)
(5) \\(\frac{11}{22}=\\) (12) \\(\frac{22}{33}=\\)
(6) \\(\frac{8}{24}=\\) (13) \\(\frac{21}{35}=\\)
(7) \\(\frac{20}{25}=\\) (14) \\(\frac{24}{36}=\\)
\\(\frac{36}{4}=\frac{1}{2}\\) you can also

Explanation:

Step1: Simplify each fraction by GCD

Divide numerator/denominator by their greatest common divisor (GCD).

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Page D198a (Right Page)

(1) GCD of 12,16 is 4

$\frac{12\div4}{16\div4}=\frac{3}{4}$

(2) GCD of 9,18 is 9

$\frac{9\div9}{18\div9}=\frac{1}{2}$

(3) GCD of 10,20 is 10

$\frac{10\div10}{20\div10}=\frac{1}{2}$

(4) GCD of 15,21 is 3

$\frac{15\div3}{21\div3}=\frac{5}{7}$

(5) GCD of 11,22 is 11

$\frac{11\div11}{22\div11}=\frac{1}{2}$

(6) GCD of 8,24 is 8

$\frac{8\div8}{24\div8}=\frac{1}{3}$

(7) GCD of 20,25 is 5

$\frac{20\div5}{25\div5}=\frac{4}{5}$

(8) GCD of 24,26 is 2

$\frac{24\div2}{26\div2}=\frac{12}{13}$

(9) GCD of 14,28 is 14

$\frac{14\div14}{28\div14}=\frac{1}{2}$

(10) GCD of 18,30 is 6

$\frac{18\div6}{30\div6}=\frac{3}{5}$

(11) GCD of 12,32 is 4

$\frac{12\div4}{32\div4}=\frac{3}{8}$

(12) GCD of 22,33 is 11

$\frac{22\div11}{33\div11}=\frac{2}{3}$

(13) GCD of 21,35 is 7

$\frac{21\div7}{35\div7}=\frac{3}{5}$

(14) GCD of 24,36 is 12

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

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Page D197b (Left Page)

(15) GCD of 16,40 is 8

$\frac{16\div8}{40\div8}=\frac{2}{5}$

(16) GCD of 21,42 is 21

$\frac{21\div21}{42\div21}=\frac{1}{2}$

(17) GCD of 15,45 is 15

$\frac{15\div15}{45\div15}=\frac{1}{3}$

(18) GCD of 12,48 is 12

$\frac{12\div12}{48\div12}=\frac{1}{4}$

(19) GCD of 40,50 is 10

$\frac{40\div10}{50\div10}=\frac{4}{5}$

(20) GCD of 44,52 is 4

$\frac{44\div4}{52\div4}=\frac{11}{13}$

(21) GCD of 48,54 is 6

$\frac{48\div6}{54\div6}=\frac{8}{9}$

(22) GCD of 42,56 is 14

$\frac{42\div14}{56\div14}=\frac{3}{4}$

(23) GCD of 12,60 is 12

$\frac{12\div12}{60\div12}=\frac{1}{5}$

(24) GCD of 36,60 is 12

$\frac{36\div12}{60\div12}=\frac{3}{5}$

(25) GCD of 56,64 is 8

$\frac{56\div8}{64\div8}=\frac{7}{8}$

(26) GCD of 15,65 is 5

$\frac{15\div5}{65\div5}=\frac{3}{13}$

(27) GCD of 51,66 is 3

$\frac{51\div3}{66\div3}=\frac{17}{22}$

(28) GCD of 15,75 is 15

$\frac{15\div15}{75\div15}=\frac{1}{5}$

Answer:

D198a

(1) $\frac{3}{4}$
(2) $\frac{1}{2}$
(3) $\frac{1}{2}$
(4) $\frac{5}{7}$
(5) $\frac{1}{2}$
(6) $\frac{1}{3}$
(7) $\frac{4}{5}$
(8) $\frac{12}{13}$
(9) $\frac{1}{2}$
(10) $\frac{3}{5}$
(11) $\frac{3}{8}$
(12) $\frac{2}{3}$
(13) $\frac{3}{5}$
(14) $\frac{2}{3}$

D197b

(15) $\frac{2}{5}$
(16) $\frac{1}{2}$
(17) $\frac{1}{3}$
(18) $\frac{1}{4}$
(19) $\frac{4}{5}$
(20) $\frac{11}{13}$
(21) $\frac{8}{9}$
(22) $\frac{3}{4}$
(23) $\frac{1}{5}$
(24) $\frac{3}{5}$
(25) $\frac{7}{8}$
(26) $\frac{3}{13}$
(27) $\frac{17}{22}$
(28) $\frac{1}{5}$