Вопрос:

Сократите дроби (№ 1-2): a) 24/60 , 12/48 , 20/36 , 14/56 ; б) 36/60 , 18/90 , 66/99 , 98/112 ; 2) 360/540 , 42/720 , 210/1260 , 360/6000 ; б) 132/297 , 99/252 , 120/165 , 120/363 .

Ответ:

a) $$\frac{24}{60} = \frac{2 \cdot 12}{5 \cdot 12} = \frac{2}{5}$$, $$\frac{12}{48} = \frac{1 \cdot 12}{4 \cdot 12} = \frac{1}{4}$$, $$\frac{20}{36} = \frac{5 \cdot 4}{9 \cdot 4} = \frac{5}{9}$$, $$\frac{14}{56} = \frac{1 \cdot 14}{4 \cdot 14} = \frac{1}{4}$$

б) $$\frac{36}{60} = \frac{3 \cdot 12}{5 \cdot 12} = \frac{3}{5}$$, $$\frac{18}{90} = \frac{1 \cdot 18}{5 \cdot 18} = \frac{1}{5}$$, $$\frac{66}{99} = \frac{2 \cdot 33}{3 \cdot 33} = \frac{2}{3}$$, $$\frac{98}{112} = \frac{7 \cdot 14}{8 \cdot 14} = \frac{7}{8}$$

2) $$\frac{360}{540} = \frac{2 \cdot 180}{3 \cdot 180} = \frac{2}{3}$$, $$\frac{42}{720} = \frac{7 \cdot 6}{120 \cdot 6} = \frac{7}{120}$$, $$\frac{210}{1260} = \frac{1 \cdot 210}{6 \cdot 210} = \frac{1}{6}$$, $$\frac{360}{6000} = \frac{3 \cdot 120}{50 \cdot 120} = \frac{3}{50}$$

б) $$\frac{132}{297} = \frac{4 \cdot 33}{9 \cdot 33} = \frac{4}{9}$$, $$\frac{99}{252} = \frac{11 \cdot 9}{28 \cdot 9} = \frac{11}{28}$$, $$\frac{120}{165} = \frac{8 \cdot 15}{11 \cdot 15} = \frac{8}{11}$$, $$\frac{120}{363} = \frac{40 \cdot 3}{121 \cdot 3} = \frac{40}{121}$$

Ответ: a) 2/5, 1/4, 5/9, 1/4; б) 3/5, 1/5, 2/3, 7/8; 2) 2/3, 7/120, 1/6, 3/50; б) 4/9, 11/28, 8/11, 40/121

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