Question

3/7 + 4/9 + 4/7 + 5/9 ​

Answer 1

По сочетательному закону сложения сложим так:

(3/7 + 4/7) + (4/9 + 5/9)=

7/7 + 9/9=1+1=2.

Складывая несколько слагаемых, можно группировать их любым удобным образом.

Answer 2

Ответ: 3/7 + 4/9 + 4/7 + 5/9=2

Пошаговое объяснение:

3/7 + 4/9 + 4/7 + 5/9 ​

Чтобы было легче складывать, сначала сложим дроби с одинаковыми знаменателями:

3/7+4/7=7/7

4/9+5/9=9/9

Затем нам нужно привести эти дроби к общему знаменателю и сложить их:

7/7 и 9/9

НОК(7;9)=63

7/7 =7*9/63=63/63

9/9=9*7/63=63/63

63/63+63/63=126/63

Сократим результат:

126/63=126:63/63/63=2/1=2

Это и будет ответ)

Answer 3

To add fractions, you need to have a common denominator. Let's find the common denominator for the fractions you provided, which is the least common multiple (LCM) of 7 and 9.

The prime factors of 7 are 7, and the prime factors of 9 are 3 and 3. The LCM is calculated by multiplying the highest power of each prime factor.

LCM(7, 9) = 7 × 3 × 3 = 63

Now, we can rewrite the fractions with the common denominator of 63:

(3/7) × (9/9) + (4/9) × (7/7) + (4/7) × (9/9) + (5/9) × (7/7)

Simplifying the fractions:

27/63 + 28/63 + 36/63 + 35/63

Now, we can add the fractions:

(27 + 28 + 36 + 35) / 63

= 126 / 63

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9:

(126 ÷ 9) / (63 ÷ 9)

= 14 / 7

= 2

Therefore, the sum of the fractions 3/7, 4/9, 4/7, and 5/9 is 2.