
4 1/7*14-2 3/4*3/4*3 1/6-1 4/6-1 4/9*2 5/8


Ответы на вопрос

Ответ:
Надеюсь что все понятно!




To solve the expression, follow the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's solve the expression step by step:
Step 1: Perform multiplication and division from left to right.
4 1/7 * 14 = 57/7 * 14 = 798/7 = 114
2 3/4 * 3/4 = 11/4 * 3/4 = 33/16
3 1/6 - 1 = 19/6 - 6/6 = 13/6
1 4/6 - 1 = 10/6 - 6/6 = 4/6 = 2/3
2 5/8 = 21/8
Step 2: Perform addition and subtraction from left to right.
114 - 33/16 - 13/6 - 2/3 + 21/8
Now, we need to find a common denominator to combine the fractions. The least common multiple (LCM) of 16, 6, 3, and 8 is 48.
Converting fractions to have a common denominator of 48:
114 = 736/48 (multiplying by 48/48) 33/16 = 99/48 (multiplying by 3/3) 13/6 = 104/48 (multiplying by 8/8) 2/3 = 32/48 (multiplying by 16/16) 21/8 = 126/48 (multiplying by 6/6)
Now, the expression becomes:
736/48 - 99/48 - 104/48 - 32/48 + 126/48
Next, combine the fractions:
(736 - 99 - 104 - 32 + 126) / 48
Now, perform the operations:
(627) / 48 = 13.0625
So, the final result of the expression is approximately 13.0625.


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