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3/4÷10/6 Simplify?
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3/4÷10/6 Simplify?
Step 1: Understand the Problem
To simplify the expression 3/4 ÷ 10/6, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.
Step 2: Find the Reciprocal
The reciprocal of 10/6 is 6/10.
Step 3: Rewrite the Expression
Now, we can rewrite the division as multiplication:
Step 4: Multiply the Fractions
To multiply fractions, multiply the numerators together and the denominators together:
So, we have:
Step 5: Simplify the Fraction
Now, we simplify 18/40 by finding the greatest common divisor (GCD):
Now, divide both the numerator and the denominator by their GCD:
Thus, we get:
Final Answer
Therefore, the simplified result of 3/4 ÷ 10/6 is:
To simplify the expression 3/4 ÷ 10/6, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.
Step 2: Find the Reciprocal
The reciprocal of 10/6 is 6/10.
Step 3: Rewrite the Expression
Now, we can rewrite the division as multiplication:
- 3/4 ÷ 10/6 becomes 3/4 × 6/10
Step 4: Multiply the Fractions
To multiply fractions, multiply the numerators together and the denominators together:
- Numerator: 3 × 6 = 18
- Denominator: 4 × 10 = 40
So, we have:
- 3/4 × 6/10 = 18/40
Step 5: Simplify the Fraction
Now, we simplify 18/40 by finding the greatest common divisor (GCD):
- GCD of 18 and 40 is 2
Now, divide both the numerator and the denominator by their GCD:
- Numerator: 18 ÷ 2 = 9
- Denominator: 40 ÷ 2 = 20
Thus, we get:
- 18/40 simplifies to 9/20
Final Answer
Therefore, the simplified result of 3/4 ÷ 10/6 is:
- 9/20
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3/4÷10/6 Simplify?
Question Description
3/4÷10/6 Simplify? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/4÷10/6 Simplify? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/4÷10/6 Simplify?.
3/4÷10/6 Simplify? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/4÷10/6 Simplify? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/4÷10/6 Simplify?.
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