Reciprocals - ACT Math
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What is the opposite reciprocal of 25/127?
What is the opposite reciprocal of 25/127?
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.
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.
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Find the reciprocal of the following fraction
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.
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.
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Find the negative reciprocal of the following:
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 
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
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What is the slope of any line perpendicular to 4_y_ = 2_x_ + 7 ?
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
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
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What is the reciprocal of the fraction 3/727?
What is the reciprocal of the fraction 3/727?
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
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
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What is the reciprocal of 
?
What is the reciprocal of
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.
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.
Compare your answer with the correct one above