Question

№1 Запишите десятичную дробь в виде обыкновенной дроби и результат сократите: 1) 0,92 2) 0,72 3)0,35 4)0,92 5)0,632 6)0,9724 №2 Какую часть минуты составляют: 1) 2 с 2) 18 с 3) 27 с 4) 45 с №3 Выполните действие и сократите результат: 1) 5/18 + 4/18 3) 3 целых 13/45 + 6 целых 17/45 2) 25/34 - 8/34 4)12 целых 43/56 - 7 целых 22/56

Answer 1

1 и 3 я решила, 2 не знаю как:(

Answer 2

№1 Запишите десятичную дробь в виде обыкновенной дроби и результат сократите:

1) 0,92: To convert the decimal fraction 0.92 to a common fraction, we can write it as 92/100. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 92 by 4 gives us 23, and dividing 100 by 4 gives us 25. Therefore, 0.92 can be written as the simplified fraction 23/25.

2) 0,72: Similarly, to convert the decimal fraction 0.72 to a common fraction, we can write it as 72/100. Dividing both the numerator and denominator by their greatest common divisor, which is 8, gives us 9/12. Further simplifying this fraction by dividing both the numerator and denominator by 3 results in 3/4. Therefore, 0.72 can be written as the simplified fraction 3/4.

3) 0,35: To convert the decimal fraction 0.35 to a common fraction, we can write it as 35/100. Dividing both the numerator and denominator by their greatest common divisor, which is 5, gives us 7/20. Therefore, 0.35 can be written as the simplified fraction 7/20.

4) 0,92: As mentioned earlier, 0.92 can be written as the fraction 23/25.

5) 0,632: To convert the decimal fraction 0.632 to a common fraction, we can write it as 632/1000. Dividing both the numerator and denominator by their greatest common divisor, which is 8, gives us 79/125. Therefore, 0.632 can be written as the simplified fraction 79/125.

6) 0,9724: To convert the decimal fraction 0.9724 to a common fraction, we can write it as 9724/10000. Dividing both the numerator and denominator by their greatest common divisor, which is 4, gives us 2431/2500. Therefore, 0.9724 can be written as the simplified fraction 2431/2500.

№2 Какую часть минуты составляют: 1) 2 секунды: To calculate the fraction of a minute that 2 seconds represents, we need to divide 2 by 60 (the number of seconds in a minute). This gives us 1/30. Therefore, 2 seconds represent 1/30 of a minute.

2) 18 секунд: Similarly, dividing 18 by 60 gives us 3/10. Therefore, 18 seconds represent 3/10 of a minute.

3) 27 секунд: Dividing 27 by 60 gives us 9/20. Therefore, 27 seconds represent 9/20 of a minute.

4) 45 секунд: Dividing 45 by 60 gives us 3/4. Therefore, 45 seconds represent 3/4 of a minute.

№3 Выполните действие и сократите результат: 1) 5/18 + 4/18: To add these fractions, we need to have a common denominator, which in this case is 18. Adding the numerators gives us 5 + 4 = 9. Therefore, the result is 9/18. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9, gives us 1/2.

2) 3 целых 13/45 + 6 целых 17/45: To add these mixed numbers, we first need to convert them to improper fractions. 3 целых 13/45 can be written as 3 * 45 + 13/45 = 135/45 + 13/45 = 148/45. Similarly, 6 целых 17/45 can be written as 6 * 45 + 17/45 = 270/45 + 17/45 = 287/45. Adding these two fractions gives us 148/45 + 287/45 = 435/45. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15, gives us 29/3.

3) 25/34 - 8/34: To subtract these fractions, we can subtract the numerators while keeping the denominator the same. 25 - 8 = 17. Therefore, the result is 17/34.

4) 12 целых 43/56 - 7 целых 22/56: To subtract these mixed numbers, we first need to convert them to improper fractions. 12 целых 43/56 can be written as 12 * 56 + 43/56 = 672/56 + 43/56 = 715/56. Similarly, 7 целых 22/56 can be written as 7 * 56 + 22/56 = 392/56 + 22/56 = 414/56. Subtracting these two fractions gives us 715/56 - 414/56 = 301/56. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7, gives us 43/8.