Вопрос:

a) 0,432 : 0,24; б) 0,8625 : 0,375; в) 1,872 : 2,34; г) 0,481 : 0,037; д) 41,48 : 34;\(\ne\)) 127,2 : 159.

Ответ:

Решение:

  1. \( 0.432 : 0.24 = \frac{432}{1000} : \frac{24}{100} = \frac{432}{1000} \cdot \frac{100}{24} = \frac{432}{2400} = \frac{18}{100} = 1.8 \)
  2. \( 0.8625 : 0.375 = \frac{8625}{10000} : \frac{375}{1000} = \frac{8625}{10000} \cdot \frac{1000}{375} = \frac{8625}{3750} = 2.3 \)
  3. \( 1.872 : 2.34 = \frac{1872}{1000} : \frac{234}{100} = \frac{1872}{1000} \cdot \frac{100}{234} = \frac{1872}{2340} = 0.8 \)
  4. \( 0.481 : 0.037 = \frac{481}{1000} : \frac{37}{1000} = \frac{481}{1000} \cdot \frac{1000}{37} = \frac{481}{37} = 13 \)
  5. \( 41.48 : 34 = \frac{4148}{100} : 34 = \frac{4148}{100 \cdot 34} = \frac{122}{100} = 1.22 \)
  6. \( 127.2 : 159 = \frac{1272}{10} : 159 = \frac{1272}{10 \cdot 159} = \frac{8}{10} = 0.8 \)

Ответ: а) 1,8; б) 2,3; в) 0,8; г) 13; д) 1,22; е) 0,8.