Question

5/9+1 5/7* ( 4 2/3 - 2 5/8) : 1 3/4​

Answer 1

Ответ

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5/9+1 5/7* ( 4 2/3 - 2 5/8) : 1 3/4​

5/9+12/7*(14/3-21/8)*3/4

5/9+3/7*49/24*3

5/9+3*7/8

5/9+21/8

229/72

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Желаю удачи.

Answer 2

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

1. Perform the operations inside the parentheses: 4 2/3 - 2 5/8

   To subtract mixed numbers, we first convert them to improper fractions: 4 2/3 = (4 * 3 + 2) / 3 = 14/3 2 5/8 = (2 * 8 + 5) / 8 = 21/8

   Now, subtract: 14/3 - 21/8

   To subtract fractions, we need a common denominator, which is the least common multiple (LCM) of 3 and 8, which is 24:

   (14/3) * (8/8) - (21/8) * (3/3) = 112/24 - 63/24 = 49/24

2. Perform the multiplication:

   5/7 * 49/24

   = 245/168

3. Add the fractions:

   5/9 + 245/168

   To add fractions, we need a common denominator, which is the least common multiple (LCM) of 9 and 168, which is 1512:

   (5/9) * (168/168) + (245/168) * (9/9) = 840/1512 + 2205/1512 = 3045/1512

4. Convert the fraction to a mixed number:

   3045 ÷ 1512 = 2 with a remainder of 21.

   So, the final result is:

   2 21/1512