
3,3 - (x + 3/5) = 2 1/4


Ответы на вопрос

Ответ: 9/20
Пошаговое объяснение:
3,3 - (х + 3/5) = 2целых 1/4
3целых 3/10 - х - 3/5 = 2целых 1/4
3целых 3/10 - 6/10 - х = 2целых 1/4
2целых 13/10 - 6/10 - х = 2целых 1/4
2целых 7/10 - х = 2целых 1/4
х = 2целых 7/10 - 2целых 1/4
х = 2целых 14/20 - 2целых 5/20
х = 9/20



Ответ:
Пошаговое объяснение:
x + 3/5 = 3,3 - 2 1/4
x + 3/5 = 3 3/10 - 2 1/4
x + 3/5 = 3 6/20 - 2 5/20
x + 3/5 = 1 1/20
x = 1 1/20 - 3/5
x = 1 1/20 - 12/20
x = 21/20 - 12/20
x = 9/20



To solve the equation 3.3 - (x + 3/5) = 2 1/4, follow these steps:
Step 1: Convert the mixed number 2 1/4 to an improper fraction. 2 1/4 = (2 * 4 + 1) / 4 = 9/4
So, the equation becomes: 3.3 - (x + 3/5) = 9/4
Step 2: Move the term (-x - 3/5) to the right side of the equation by adding it to both sides: 3.3 - (x + 3/5) + (x + 3/5) = 9/4 + (x + 3/5)
The (x + 3/5) terms on the left side will cancel out: 3.3 = 9/4 + (x + 3/5)
Step 3: Now, subtract 9/4 from both sides to isolate (x + 3/5) on the right side: 3.3 - 9/4 = (x + 3/5)
Step 4: To subtract 9/4 from 3.3, you need a common denominator. The common denominator for 4 and 10 (5 as a fraction) is 20. So, convert 3.3 to a fraction with a denominator of 20: 3.3 = 33/10
Now, subtract 9/4 from 33/10: (33/10) - (9/4) = (x + 3/5)
Step 5: Find a common denominator for 10 and 4, which is 20: (33/10) - (9/4) = (x + 3/5)
Now, adjust the fractions with a common denominator of 20: (33/10) - (45/20) = (x + 3/5)
Step 6: Perform the subtraction on the left side: (33/10) - (45/20) = (x + 3/5)
Multiply the first fraction by 2/2 to get a common denominator: (66/20) - (45/20) = (x + 3/5)
Now, subtract the fractions on the left side: (66/20 - 45/20) = (x + 3/5)
(21/20) = (x + 3/5)
Step 7: Finally, isolate x by subtracting 3/5 from both sides: (21/20) - (3/5) = (x + 3/5) - (3/5)
Simplify the right side: (21/20) - (3/5) = x
To subtract these fractions, find a common denominator of 20: (21/20) - (12/20) = x
Now, subtract the fractions on the left side: (9/20) = x
So, the solution to the equation is: x = 9/20


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