Question

8 1/3×9-2 2/3×3 1/4-4 4/7×3 5/24​

Answer 1

Ответ:

8 1/3×9-2 2/3×3 1/4-4 4/7×3 5/24=

1)8 1/3×9=75

2)2 2/3×3 1/4=8 2/3

3)4 4/7×3 5/24=14 2/3

75-8 2/3=66 1/3

66 1/3-14 2/3=51 2/3

Answer 2

To solve this expression, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

The expression is: 8 1/3 × 9 - 2 2/3 × 3 1/4 - 4 4/7 × 3 5/24

First, let's convert all the mixed fractions to improper fractions: 8 1/3 = 25/3 2 2/3 = 8/3 3 1/4 = 13/4 4 4/7 = 32/7 3 5/24 = 83/24

Now we can perform the multiplications and subtractions step by step:

1. 25/3 × 9 = 225/3 = 75
2. 8/3 × 13/4 = 104/12 = 26/3
3. 32/7 × 83/24 = 664/168 = 83/21

So, the expression becomes: 75 - 26/3 - 83/21

Now, we need to find a common denominator for the fractions in the subtraction: The least common multiple of 3 and 21 is 21.

Converting fractions to have a common denominator: 75 - (26/3) * (7/7) - (83/21)

Now we can calculate the values: 75 - 182/21 - 83/21

Combine the fractions: 75 - (182 + 83) / 21 75 - 265 / 21

Now, find a common denominator again: 75 * 21 - 265 = 1575 - 265 = 1310

So, the final result is: 8 1/3 × 9 - 2 2/3 × 3 1/4 - 4 4/7 × 3 5/24 = 1310