
(-3.7-2.4)-(7/15-2/3)+5.9 помоготе пожалуйста решить пример заранее спасибо


Ответы на вопрос

59/10+(37/10)+12/5)-(-3/15)
59/10-(-1/5)+(-37+24/10)
59+(-37)-24/10+1/5
1/2+(-2/10)
1/5+(-1/5)
0



To solve the given expression: (-3.7 - 2.4) - (7/15 - 2/3) + 5.9, we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
1. Simplify the expression inside the parentheses: (-3.7 - 2.4) - (7/15 - 2/3) + 5.9 = -6.1 - (7/15 - 2/3) + 5.9
2. Simplify the subtraction inside the parentheses: 7/15 - 2/3 To subtract fractions, we need a common denominator. The least common multiple (LCM) of 15 and 3 is 15. So, we can rewrite the expression as: = (7/15) - (2/3) * (5/5) = (7/15) - (10/15) = (7 - 10)/15 = -3/15 = -1/5
3. Substitute the simplified expression back into the original expression: -6.1 - (7/15 - 2/3) + 5.9 = -6.1 - (-1/5) + 5.9
4. Simplify the subtraction of fractions: -(-1/5) = 1/5
5. Substitute the simplified expression back into the original expression: -6.1 - (-1/5) + 5.9 = -6.1 + 1/5 + 5.9
6. Convert the mixed number to an improper fraction: -6.1 = -61/10
7. Add the fractions: -61/10 + 1/5 To add fractions, we need a common denominator. The least common multiple (LCM) of 10 and 5 is 10. So, we can rewrite the expression as: = (-61/10) + (1/5) * (2/2) = (-61/10) + (2/10) = (-61 + 2)/10 = -59/10
8. Substitute the simplified expression back into the original expression: -6.1 + 1/5 + 5.9 = -59/10 + 1/5 + 5.9
9. Convert the mixed number to an improper fraction: 5.9 = 59/10
10. Add the fractions: -59/10 + 1/5 = (-59/10) + (1/5) * (2/2) = (-59/10) + (2/10) = (-59 + 2)/10 = -57/10
11. Substitute the simplified expression back into the original expression: -59/10 + 1/5 + 5.9 = -57/10 + 59/10 + 5.9
12. Add the fractions: -57/10 + 59/10 = (-57 + 59)/10 = 2/10 = 1/5
13. Substitute the simplified expression back into the original expression: -57/10 + 59/10 + 5.9 = 1/5 + 5.9
14. Add the fractions: 1/5 + 5.9 = (1/5) * (2/2) + 5.9 = 2/10 + 5.9 = 2/10 + 59/10 = (2 + 59)/10 = 61/10
Therefore, the solution to the given expression (-3.7 - 2.4) - (7/15 - 2/3) + 5.9 is 61/10.
I hope this helps! Let me know if you have any further questions.


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