Question

( 5/9 + 3/5) : 13/4​

Answer 1

(5/9 + 3/5) : 13/4

Разберемся со скобками

(5/9 + 3/5) приводим к общему знаменателю

Первую дробь умножаем на 5, а вторую на 9

25/45+27/45=52/45

Далее полученную дробь делим на 13/4

При делении числитель и знаменатель меняются местами

52/45:4/13=16/45

Answer 2

To solve the expression (5/9 + 3/5) ÷ 13/4, you first need to find the sum of (5/9 + 3/5) and then divide the result by 13/4.

Step 1: Find the sum of (5/9 + 3/5): To add fractions, you need to find a common denominator. In this case, the common denominator for 9 and 5 is 45.

(5/9) + (3/5) = (5/9) * (5/5) + (3/5) * (9/9) = 25/45 + 27/45 = (25 + 27)/45 = 52/45

Step 2: Divide the result by 13/4: When you divide by a fraction, you multiply by its reciprocal. The reciprocal of 13/4 is 4/13.

(52/45) ÷ (13/4) = (52/45) * (4/13) = (52 * 4) / (45 * 13) = 208 / 585

Therefore, (5/9 + 3/5) ÷ 13/4 equals 208/585.