Reciprocal of -3/5 is* (i) -3/5 (ii) -5/3 (iii) 3/5 (iv) 5/3 please help me fast it’s urgent
The Correct Answer and Explanation is:
The reciprocal of a number is simply 1 divided by that number.
For the given fraction −35-\frac{3}{5}−53, its reciprocal is: Reciprocal of −35=1−35=−53\text{Reciprocal of } -\frac{3}{5} = \frac{1}{-\frac{3}{5}} = -\frac{5}{3}Reciprocal of −53=−531=−35
Therefore, the correct answer is (ii) -5/3.
Explanation:
The reciprocal of any non-zero number or fraction is obtained by swapping its numerator and denominator. In this case, the number is a fraction, −35-\frac{3}{5}−53. Here’s how we find its reciprocal:
- Start with the number −35-\frac{3}{5}−53.
- To get its reciprocal, swap the numerator (3) and the denominator (5).
- After swapping, you get −53-\frac{5}{3}−35, which is the reciprocal.
Why is it not the other options?
- (i) -3/5: This is just the original number. The reciprocal cannot be the same as the original.
- (iii) 3/5: This would be the reciprocal of 35\frac{3}{5}53, but not the reciprocal of −35-\frac{3}{5}−53.
- (iv) 5/3: This is the reciprocal of 35\frac{3}{5}53, but the sign is wrong. Since the original number is negative, its reciprocal should also be negative.
Thus, the reciprocal of −35-\frac{3}{5}−53 is −53-\frac{5}{3}−35.
