What is te result when the reciprocal of -1/7 is increased by the negative of 1/7?
translate:
"..the reciprocal of -1/7 is increased by the negative of 1/7" into..
-7 + (-1/7)
now evaluate this.
I got -50/7
i got -7 1/7 thankyou!
and of course -7 1/7 = -50/7
To find the result when the reciprocal of -1/7 is increased by the negative of 1/7, we first need to simplify the individual components.
The reciprocal of -1/7 can be found by taking the reciprocal of -1 and the reciprocal of 7. The reciprocal of a number `a` is 1/a. So, the reciprocal of -1 is -1/1 which is simply -1, and the reciprocal of 7 is 1/7. Therefore, the reciprocal of -1/7 is (-1)/(1/7) = -(1/7).
Next, we need to determine the negative of 1/7. The negative of a number `b` is simply -b. So, the negative of 1/7 is -(1/7).
Now that we have simplified both components, we can find their sum. To add two fractions together, we need to have a common denominator. In this case, both fractions already have a denominator of 7. Therefore, we can add them directly.
-(1/7) + -(1/7) = -1/7 - 1/7 = (-1 - 1)/7 = -2/7.
So, the result when the reciprocal of -1/7 is increased by the negative of 1/7 is -2/7.