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Multiply 6/15by the reciprocal of -11/16?
Most Upvoted Answer
Multiply 6/15by the reciprocal of -11/16?
Given:
- $\frac{6}{15}$
- Reciprocal of $\frac{-11}{16}$
Calculation:
Step 1: Find the reciprocal of $\frac{-11}{16}$
- The reciprocal of a fraction is obtained by flipping the numerator and denominator.
- Reciprocal of $\frac{-11}{16}$ is $\frac{-16}{11}$.
Step 2: Multiply $\frac{6}{15}$ by $\frac{-16}{11}$
- To multiply fractions, multiply the numerators and denominators separately.
- $(6 \times -16) = -96$ (numerator)
- $(15 \times 11) = 165$ (denominator)
- The result is $\frac{-96}{165}$.
Step 3: Simplify the result
- Both the numerator and denominator have a common factor of 3.
- Divide both the numerator and denominator by 3.
- Simplifying, we get $\frac{-32}{55}$.
Therefore, the result of multiplying $\frac{6}{15}$ by the reciprocal of $\frac{-11}{16}$ is $\frac{-32}{55}$.
- $\frac{6}{15}$
- Reciprocal of $\frac{-11}{16}$
Calculation:
Step 1: Find the reciprocal of $\frac{-11}{16}$
- The reciprocal of a fraction is obtained by flipping the numerator and denominator.
- Reciprocal of $\frac{-11}{16}$ is $\frac{-16}{11}$.
Step 2: Multiply $\frac{6}{15}$ by $\frac{-16}{11}$
- To multiply fractions, multiply the numerators and denominators separately.
- $(6 \times -16) = -96$ (numerator)
- $(15 \times 11) = 165$ (denominator)
- The result is $\frac{-96}{165}$.
Step 3: Simplify the result
- Both the numerator and denominator have a common factor of 3.
- Divide both the numerator and denominator by 3.
- Simplifying, we get $\frac{-32}{55}$.
Therefore, the result of multiplying $\frac{6}{15}$ by the reciprocal of $\frac{-11}{16}$ is $\frac{-32}{55}$.
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Multiply 6/15by the reciprocal of -11/16?
Question Description
Multiply 6/15by the reciprocal of -11/16? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Multiply 6/15by the reciprocal of -11/16? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Multiply 6/15by the reciprocal of -11/16?.
Multiply 6/15by the reciprocal of -11/16? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Multiply 6/15by the reciprocal of -11/16? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Multiply 6/15by the reciprocal of -11/16?.
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