Answer:
Check whether -1/5÷2/15=2/15÷-1/5
Also, generalise your conclusion.
## Checking the Equality
To check whether the expression -1/5 ÷ 2/15 = 2/15 ÷ -1/5 is true, we can follow these steps:
1. Simplify the left-hand side:
-1/5 ÷ 2/15 = (-1/5) / (2/15) = (-1/5) * (15/2) = -3/10
2. Simplify the right-hand side:
2/15 ÷ -1/5 = (2/15) / (-1/5) = (2/15) * (-5/1) = -2/15
3. Compare the simplified expressions:
-3/10 ≠ -2/15
Therefore, the expression -1/5 ÷ 2/15 ≠ 2/15 ÷ -1/5 is not true.
## Generalizing the Conclusion
The general conclusion we can draw from this example is that the equality of two fractions involving division is not always guaranteed, even if the numerators and denominators appear to be related.
The key factors to consider are:
1. The order of the operands in the division operation: Changing the order can lead to different results.
2. The sign of the divisor: A negative divisor can change the sign of the result.
3. The relative values of the numerators and denominators: Small changes in these values can lead to different results.
In general, when dealing with fractions involving division, it is important to carefully simplify and compare the expressions to determine if they are equal or not.
