1/3 ÷ 5/3 is equal toa)1/3b)5/3c)1/5d)None of theseCorrect answ...
Understanding Division of Fractions
When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping its numerator and denominator.
Step-by-Step Calculation
1. Identify the Fractions:
- First fraction: 1/3
- Second fraction: 5/3
2. Find the Reciprocal:
- The reciprocal of 5/3 is 3/5.
3. Multiply the First Fraction by the Reciprocal:
- (1/3) * (3/5)
4. Multiply the Numerators and Denominators:
- Numerator: 1 * 3 = 3
- Denominator: 3 * 5 = 15
5. Simplify the Result:
- The result is 3/15, which simplifies to 1/5.
Final Answer
Thus, 1/3 ÷ 5/3 equals 1/5, which corresponds to option 'C'.
Conclusion
The correct answer to the question is indeed C) 1/5. Understanding how to divide fractions using the reciprocal method is crucial for solving similar problems in mathematics.