5.357 Сократите дроби: a) 10' 18' 15' 24' б) 12' 15' 6'42' B) 60' 22'100'1000'

Ответ: a) 3/5, 1/3, 3/5, 3/8; б) 1/6, 1/5, 5, 1/6; в) 1/5, 9/22, 1/20, 1/50

Решение:

a) Сократим дроби:

• 6/10 = (6 ÷ 2) / (10 ÷ 2) = 3/5
• 6/18 = (6 ÷ 6) / (18 ÷ 6) = 1/3
• 9/15 = (9 ÷ 3) / (15 ÷ 3) = 3/5
• 9/24 = (9 ÷ 3) / (24 ÷ 3) = 3/8

б) Сократим дроби:

• 2/12 = (2 ÷ 2) / (12 ÷ 2) = 1/6
• 3/15 = (3 ÷ 3) / (15 ÷ 3) = 1/5
• 30/6 = (30 ÷ 6) / (6 ÷ 6) = 5
• 7/42 = (7 ÷ 7) / (42 ÷ 7) = 1/6

в) Сократим дроби:

• 12/60 = (12 ÷ 12) / (60 ÷ 12) = 1/5
• 99/22 = (99 ÷ 11) / (22 ÷ 11) = 9/2
• 5/100 = (5 ÷ 5) / (100 ÷ 5) = 1/20
• 20/1000 = (20 ÷ 20) / (1000 ÷ 20) = 1/50

Ответ: a) 3/5, 1/3, 3/5, 3/8; б) 1/6, 1/5, 5, 1/6; в) 1/5, 9/22, 1/20, 1/50