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Simplify and express the result as a a rational number in its lowest term
0.2 X0 /0.1X0.02 -7/2 +4/3-?
0.2 X0 /0.1X0.02 -7/2 +4/3-?
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Simplify and express the result as a a rational number in its lowest t...
Step 1: Simplify the Expression
To simplify the expression 0.2 * 0 / (0.1 * 0.02) - 7/2 + 4/3, we start with the multiplication and division parts.
- Calculate 0.2 * 0: This equals 0.
- Calculate 0.1 * 0.02: This equals 0.002.
Now, replace these values in the expression:
0 / 0.002 - 7/2 + 4/3.
Step 2: Simplifying the Division
- 0 / 0.002: This equals 0.
Now, the expression simplifies to:
0 - 7/2 + 4/3.
Step 3: Finding a Common Denominator
To combine -7/2 and 4/3, we need a common denominator. The least common multiple of 2 and 3 is 6.
- Convert -7/2 to sixths: (-7/2) * (3/3) = -21/6.
- Convert 4/3 to sixths: (4/3) * (2/2) = 8/6.
Now, we have:
0 - 21/6 + 8/6.
Step 4: Combine the Fractions
Now, combine the fractions:
-21/6 + 8/6 = (-21 + 8) / 6 = -13/6.
Step 5: Final Result
Thus, the expression simplifies to:
-13/6.
This is already in its lowest terms, as -13 is a prime number and cannot be further simplified.
Final Answer: -13/6
To simplify the expression 0.2 * 0 / (0.1 * 0.02) - 7/2 + 4/3, we start with the multiplication and division parts.
- Calculate 0.2 * 0: This equals 0.
- Calculate 0.1 * 0.02: This equals 0.002.
Now, replace these values in the expression:
0 / 0.002 - 7/2 + 4/3.
Step 2: Simplifying the Division
- 0 / 0.002: This equals 0.
Now, the expression simplifies to:
0 - 7/2 + 4/3.
Step 3: Finding a Common Denominator
To combine -7/2 and 4/3, we need a common denominator. The least common multiple of 2 and 3 is 6.
- Convert -7/2 to sixths: (-7/2) * (3/3) = -21/6.
- Convert 4/3 to sixths: (4/3) * (2/2) = 8/6.
Now, we have:
0 - 21/6 + 8/6.
Step 4: Combine the Fractions
Now, combine the fractions:
-21/6 + 8/6 = (-21 + 8) / 6 = -13/6.
Step 5: Final Result
Thus, the expression simplifies to:
-13/6.
This is already in its lowest terms, as -13 is a prime number and cannot be further simplified.
Final Answer: -13/6
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Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-?
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Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-?.
Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify and express the result as a a rational number in its lowest term0.2 X0 /0.1X0.02 -7/2 +4/3-?.
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