
9 1/4*8-12/3*5 1/2-4 2/5* 4 7/12


Ответы на вопрос

Ответ:
31. 5/6
Пошаговое объяснение:
1) 9. 1/4 * 8 = 37/4 * 8 =
37/1 * 2 = 74/1 = 74
2) 12/3 * 5. 1/2 = 4 * 11/2 =
44/2 = 22
3) 4. 2/5 * 4. 7/12 = 22/5 * 55/12 = 11/1 * 11/6 = 121/6 = 20. 1/6
4) 74 - 22 = 52
5) 52 - 20. 1/6 =
51. 6/6 - 20. 1/6 = 31. 5/6



Ответ: 31 5/6.
Пошаговое объяснение:
9 1/4 * 8 - 12/3 * 5 1/2 - 4 2/5 * 4 7/12= 31 5/6.
1) 9 1/4 * 8= 37/4 *8=74;
2) 12/3 * 5 1/2 = 12/3 * 11/2= 22;
3) 4 2/5 * 4 7/12 = 22/5 * 55/12= 121/6;
4) 74-22-121/6=52 -20 1/6 =191/6= 31 5/6.



To solve this expression, you should follow the order of operations, which is typically remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Here's how you can calculate the expression step by step:
First, deal with the multiplication and division:
- 9 1/4 * 8 = 37 (Convert the mixed number to an improper fraction: 37/4)
- 12/3 * 5 1/2 = 20 1/2 (Convert the mixed number to an improper fraction: 41/2)
- 4 2/5 * 4 7/12 = 50/5 * 55/12 = 250/60 = 25/6
Now, you have:
- 37 - 20 1/2 - 25/6
Subtract 20 1/2 from 37:
- 37 - 20 1/2 = 16 1/2 (Convert the mixed number to an improper fraction: 33/2)
Now, you have:
- 33/2 - 25/6
To subtract these fractions, you need a common denominator, which is 6 in this case. So, convert 33/2 to an equivalent fraction with a denominator of 6:
- (33/2) * (3/3) = 99/6
Now, you can subtract the fractions:
- 99/6 - 25/6 = 74/6
Simplify the fraction, if possible:
- 74/6 = 37/3
So, the final result of the expression is 37/3 or 12 1/3 when expressed as a mixed number.


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