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Simplify in the lowest term
0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?
0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?
Most Upvoted Answer
Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?
Step 1: Calculate the Expression
To simplify the expression 0.2 x 0.3 / (0.1 x 0.02) - 7/2 + 4/3, we will break it down into parts.
Step 2: Calculate the Multiplications
- 0.2 x 0.3 = 0.06
- 0.1 x 0.02 = 0.002
Now, we can rewrite the expression:
0.06 / 0.002 - 7/2 + 4/3
Step 3: Division
Now, divide 0.06 by 0.002:
- 0.06 / 0.002 = 30
So the expression is now:
30 - 7/2 + 4/3
Step 4: Find a Common Denominator
To combine the fractions, we need a common denominator. The least common multiple of 2 and 3 is 6.
- Convert 7/2 to sixths: (7 x 3)/(2 x 3) = 21/6
- Convert 4/3 to sixths: (4 x 2)/(3 x 2) = 8/6
Now rewrite the expression:
30 - 21/6 + 8/6
Step 5: Combine the Fractions
Now combine the fractions:
- 30 - (21/6 - 8/6) = 30 - 13/6
Step 6: Convert 30 to a Fraction
Convert 30 to sixths:
- 30 = 180/6
So we have:
180/6 - 13/6 = (180 - 13)/6 = 167/6
Final Result
Thus, the simplified expression in lowest terms is:
167/6
This result is in its simplest form.
To simplify the expression 0.2 x 0.3 / (0.1 x 0.02) - 7/2 + 4/3, we will break it down into parts.
Step 2: Calculate the Multiplications
- 0.2 x 0.3 = 0.06
- 0.1 x 0.02 = 0.002
Now, we can rewrite the expression:
0.06 / 0.002 - 7/2 + 4/3
Step 3: Division
Now, divide 0.06 by 0.002:
- 0.06 / 0.002 = 30
So the expression is now:
30 - 7/2 + 4/3
Step 4: Find a Common Denominator
To combine the fractions, we need a common denominator. The least common multiple of 2 and 3 is 6.
- Convert 7/2 to sixths: (7 x 3)/(2 x 3) = 21/6
- Convert 4/3 to sixths: (4 x 2)/(3 x 2) = 8/6
Now rewrite the expression:
30 - 21/6 + 8/6
Step 5: Combine the Fractions
Now combine the fractions:
- 30 - (21/6 - 8/6) = 30 - 13/6
Step 6: Convert 30 to a Fraction
Convert 30 to sixths:
- 30 = 180/6
So we have:
180/6 - 13/6 = (180 - 13)/6 = 167/6
Final Result
Thus, the simplified expression in lowest terms is:
167/6
This result is in its simplest form.
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Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?
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Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 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 in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?.
Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 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 in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify in the lowest term 0.2 x 0.3 / 0.1 x 0.02 - 7/2 + 4/3?.
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