Question

4 7/25 + (18 18/25 - 4/15)

Answer 1

Ответ:

4 7/25 + (18 18/25 - 4/15)= 22 2/3

Пошаговое объяснение: 4 7/25 + (18 18/25 - 4/15)= 1)действие  18 18/25 - 4/15= чтобы вычесть надо найти наименьший общий знаменатель. ( 75)    

18 54/75-20/75=18 34/75.  

2)  4 7/25 + 18 34/75= чтобы сложить надо привести дроби к наименьшему общему знаменателю.   4 42/150 +  18 68/150= 22 100/150  это дробь надо сократить.   22 2/3

Answer 2

To solve the given expression, let's break it down step by step:

First, let's simplify the innermost parentheses:

18 18/25 - 4/15

To subtract these mixed numbers, we need to convert them into improper fractions:

18 18/25 = (25 * 18 + 18) / 25 = 468/25 4/15 = 4/15

Now we can subtract:

(468/25) - (4/15)

To subtract fractions, we need a common denominator. In this case, the common denominator is 25 * 15 = 375.

(468/25) - (4/15) = (468 * 15)/(25 * 15) - (4 * 25)/(15 * 25) = 7020/375 - 100/375 = (7020 - 100)/375 = 6920/375

Now let's simplify the first part of the expression:

4 7/25

To convert this mixed number into an improper fraction:

4 7/25 = (25 * 4 + 7) / 25 = 107/25

Now we can add:

107/25 + 6920/375

To add fractions, we need a common denominator. In this case, the common denominator is 25 * 375 = 9375.

107/25 + 6920/375 = (107 * 375)/(25 * 375) + (6920 * 25)/(375 * 25) = 40125/9375 + 173000/9375 = (40125 + 173000)/9375 = 213125/9375

Finally, we can simplify the resulting fraction:

213125/9375 = 25/1

Therefore, the expression 4 7/25 + (18 18/25 - 4/15) simplifies to 25/1 or simply 25.