Question

(2 1/4+4 5/6)*5/17 -3/4÷3/5​

Answer 1

(2 1/4+4 5/6)*5/17-3/4÷3/5=?

ответ: 5/6

Answer 2

Решение вышеприведённого примера:
Первым действием найдём сумму дробей в первых скобках:
2 12/17+1 5/17 = 3 (12 + 5)/17 = 3 17/17 = 4.
Вторым действием найдём сумму дробей во вторых скобках:
3 4/5+1 3/5 = 4 (4 + 3)/5 = 4 7/5 = 5 2/5.
Третьим действием найдём частное двух чисел:
10 / 4 = 5/2.
Четвёртым действием найдём частное двух чисел:
(5 2/5) / 6 = (27/5) / (6/1) = (27/5) * (1/6) = (27 * 1) / (5 * 6) = 27/30.
Пятым действием найдём разность двух чисел:
5/2 - 27/30 = (75 - 27) / 30 = 48/30 = 24/15 = 8/5 = 1 3/5.
Правильный ответ: 1 3/5.

Answer 3

Let's break down the expression step by step:

1. First, add the mixed numbers: 2 1/4 + 4 5/6

   To add these mixed numbers, you can convert them to improper fractions first: 2 1/4 = 9/4 4 5/6 = 29/6

   Now, add the fractions: 9/4 + 29/6

   To add these fractions, you need a common denominator, which is 12: (9/4) * (3/3) = 27/12 (29/6) * (2/2) = 58/12

   Now, add the fractions with a common denominator: 27/12 + 58/12 = 85/12

2. Now, multiply the result by 5/17: (85/12) * (5/17)

   Multiply the numerators and denominators separately: (85 * 5) / (12 * 17) = 425 / 204

3. Finally, divide by 3/4 ÷ 3/5, which is the same as multiplying by its reciprocal (5/3): (425/204) * (5/3)

   Multiply the numerators and denominators separately: (425 * 5) / (204 * 3) = 2125 / 612

You can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 17:

(2125 ÷ 17) / (612 ÷ 17) = 125 / 36

So, the final result of the expression is 125/36.