Question

Выполните сложение дробей. Если это возможно, сократите полученный результат: а) 7/12 + 2/12 б) 32/39 − 6/39 в) 417/45 + 3 13/45 г) 9 59/63 − 5 24/63

Answer 1

Ответ:

а) 3/4

б) 2/3

в) 16(2/9)

г) 6(19/21)

Пошаговое объяснение:

а) (7+2)/12=9/12=3/4

б) (32-6)/39=26/39=2/3

в) (417+313)/45=730/45=146/9=16(2/9)

г) (959-524)/63=435/63=145/21=6(19/21)

Answer 2

все на фото..................

Answer 3

a) 7/12 + 2/12

To add these fractions, we need to have a common denominator. In this case, the denominators are already the same, which is 12. Therefore, we can simply add the numerators:

7/12 + 2/12 = (7 + 2)/12 = 9/12

The result is 9/12.

To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 9 and 12 is 3. Therefore, we can simplify the fraction by dividing both the numerator and denominator by 3:

9/12 ÷ 3/3 = 3/4

So, the simplified result is 3/4.

b) 32/39 - 6/39

To subtract these fractions, we need to have a common denominator. In this case, the denominators are already the same, which is 39. Therefore, we can simply subtract the numerators:

32/39 - 6/39 = (32 - 6)/39 = 26/39

The result is 26/39.

To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 26 and 39 is 13. Therefore, we can simplify the fraction by dividing both the numerator and denominator by 13:

26/39 ÷ 13/13 = 2/3

So, the simplified result is 2/3.

c) 417/45 + 3 13/45

To add these fractions, we need to have a common denominator. In this case, the denominators are already the same, which is 45. Therefore, we can simply add the numerators:

417/45 + 3 13/45 = 417/45 + (3 * 45 + 13)/45 = 417/45 + (135 + 13)/45 = 417/45 + 148/45

Now, we can add the numerators:

417/45 + 148/45 = (417 + 148)/45 = 565/45

The result is 565/45.

To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 565 and 45 is 5. Therefore, we can simplify the fraction by dividing both the numerator and denominator by 5:

565/45 ÷ 5/5 = 113/9

So, the simplified result is 113/9.

d) 9 59/63 - 5 24/63

To subtract these fractions, we need to have a common denominator. In this case, the denominators are already the same, which is 63. Therefore, we can simply subtract the numerators:

9 59/63 - 5 24/63 = (9 * 63 + 59)/63 - (5 * 63 + 24)/63 = (567 + 59)/63 - (315 + 24)/63 = 626/63 - 339/63

Now, we can subtract the numerators:

626/63 - 339/63 = (626 - 339)/63 = 287/63

The result is 287/63.

To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 287 and 63 is 7. Therefore, we can simplify the fraction by dividing both the numerator and denominator by 7:

287/63 ÷ 7/7 = 41/9

So, the simplified result is 41/9.