Reciprocals

Help Questions

ACT Math › Reciprocals

Questions 1 - 10

Find the negative reciprocal of the following:

$\frac{5}{132}$

$-\frac{132}{5}$

$\frac{132}{5}$

$-\frac{5}{132}$

$\frac{5}{132}$

$\frac{1}{2}$

Explanation

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.

$\frac{5}{132}$

Reciprocal $\frac{132}{5}$

Negative Reciprocal $-\frac{132}{5}$

Find the negative reciprocal of the following:

$\frac{5}{132}$

$-\frac{132}{5}$

$\frac{132}{5}$

$-\frac{5}{132}$

$\frac{5}{132}$

$\frac{1}{2}$

Explanation

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.

$\frac{5}{132}$

Reciprocal $\frac{132}{5}$

Negative Reciprocal $-\frac{132}{5}$

What is the reciprocal of $\frac{2}{17}$ ?

$\frac{17}{2}$

$-\frac{17}{2}$

$\frac{17}{17}$

$\frac{2}{2}$

This fraction doesn't have a reciprocal.

Explanation

The reciprocal of a fraction is simply exchanging the denominator and numerator of a fraction.

$\frac{n}{d}=\frac{2}{17}\rightarrow \frac{d}{n}=\frac{17}{2}$

You can double check that it works by making sure the product of a fraction and its reciprocal is 1.

$\frac{2}{17}\cdot \frac{17}{2}=1$

What is the reciprocal of $\frac{2}{17}$ ?

$\frac{17}{2}$

$-\frac{17}{2}$

$\frac{17}{17}$

$\frac{2}{2}$

This fraction doesn't have a reciprocal.

Explanation

The reciprocal of a fraction is simply exchanging the denominator and numerator of a fraction.

$\frac{n}{d}=\frac{2}{17}\rightarrow \frac{d}{n}=\frac{17}{2}$

You can double check that it works by making sure the product of a fraction and its reciprocal is 1.

$\frac{2}{17}\cdot \frac{17}{2}=1$

What is the reciprocal of the fraction 3/727?

727/3

–3/727

–727/3

3/727

242

Explanation

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 reciprocal of the fraction 3/727?

727/3

–3/727

–727/3

3/727

242

Explanation

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

Explanation

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 opposite reciprocal of 25/127?

–127/25

–25/127

127/25

25/127

–5

Explanation

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 ?

$\frac{1}{2}$

$\frac{7}{4}$

$\frac{5}{2}$

Explanation

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

What is the slope of any line perpendicular to 4_y_ = 2_x_ + 7 ?

$\frac{1}{2}$

$\frac{7}{4}$

$\frac{5}{2}$

Explanation

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

Page 1 of 2

Return to subject