ACT Math › How to find the reciprocal of a fraction
Find the negative reciprocal of the following:
The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The negative reciprocal takes the negative of that number.
Reciprocal
Negative Reciprocal
What is the reciprocal of ?
This fraction doesn't have a reciprocal.
The reciprocal of a fraction is simply exchanging the denominator and numerator of a fraction.
You can double check that it works by making sure the product of a fraction and its reciprocal is 1.
What is the reciprocal of the fraction 3/727?
727/3
–3/727
–727/3
3/727
242
The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The negative reciprocal takes the negative of that number.
3/727
Reciprocal 727/3
What is the opposite reciprocal of 25/127?
–127/25
–25/127
127/25
25/127
–5
The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The opposite reciprocal takes the negative of that number.
What is the slope of any line perpendicular to 4_y_ = 2_x_ + 7 ?
First, we must solve the equation for y to determine the slope: y = (2/4)x + 7/4
By looking at the coefficient in front of x, we know that the slope of this line has a value of 1/2. To find the slope of any line perpendicular to this one, we take the negative reciprocal of it:
slope = m , perpendicular slope = –1/m
slope = 1/2 , perpendicular slope = –2
Find the reciprocal of the following fraction
The reciprocal is defined such that a faction times its recprocal is 1. For you this just means turn the fraction upside down, ie the numerator is the denominator and vice versa.