Question

Представьте в виде обыкновенной несократимой дроби следующие десятичные дроби 0.875 0.75 0.035 объясните пж

Answer 1

0,875=875/1000, а теперь надо сокращать до тех пор, пока числитель и знаменатель не будут взаимно простыми числами

875/5      1000=10х10х10=2х2х2х5х5х5
175/5         875=5х5х5х7
35/5         НОД(875;1000)=5х5х5=125
  7/7
  1

(875:125)  /(1000/125)=7/8

все остальные примеры решаются аналогично

Answer 2

0.875 can be represented as the fraction 7/8. To convert the decimal 0.875 to a fraction, we can observe that the decimal has three digits after the decimal point. Therefore, we can write 0.875 as 875/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125, we get 7/8 [[1]].

0.75 can be represented as the fraction 3/4. To convert the decimal 0.75 to a fraction, we can observe that the decimal has two digits after the decimal point. Therefore, we can write 0.75 as 75/100. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25, we get 3/4 [[2]].

0.035 can be represented as the fraction 7/200. To convert the decimal 0.035 to a fraction, we can observe that the decimal has three digits after the decimal point. Therefore, we can write 0.035 as 35/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5, we get 7/200 [[3]].

In summary: - 0.875 can be represented as the fraction 7/8. - 0.75 can be represented as the fraction 3/4. - 0.035 can be represented as the fraction 7/200.

I hope this helps! Let me know if you have any further questions.