The reciprocal of a number is equal to divided by the number. For example:
the reciprocal of is equal to
the reciprocal of is equal to
the reciprocal of is equal to
The reciprocal of is equal to So the number is equal to its reciprocal. The same is true for
The reciprocal of a number always has the same sign as the original number.
If the number is positive, its reciprocal will be positive, while
if the number is negative, its reciprocal is also negative.
What is the reciprocal of
To find the reciprocal of we divide by So, we obtain
What is the reciprocal of $26?$
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a
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$\dfrac{1}{26}$ |
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b
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$\dfrac{1}{2}$ |
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c
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$\dfrac{1}{13}$ |
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d
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$-\dfrac{1}{13}$ |
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e
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$-1$ |
What is the reciprocal of $-15?$
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a
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$-1$ |
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b
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$-\dfrac{1}{5}$ |
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c
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$\dfrac{1}{5}$ |
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d
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$\dfrac{1}{15}$ |
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e
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$-\dfrac{1}{15}$ |
We find the reciprocal of a fraction by flipping its numerator and denominator, keeping the sign of the fraction. For example:
the reciprocal of is
the reciprocal of is
the reciprocal of is
the reciprocal of is
Find the reciprocal of
We flip the numerator and the denominator. So, the reciprocal of is
What is the reciprocal of $\dfrac{1}{8}?$
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a
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$-8$ |
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b
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$8$ |
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c
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$-\dfrac{1}{8}$ |
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d
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$-7$ |
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e
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$\dfrac{1}{2}$ |
What is the reciprocal of $-\dfrac{2}{3}?$
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a
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$-1$ |
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b
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$-\dfrac{3}{2}$ |
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c
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$\dfrac{1}{3}$ |
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d
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$\dfrac{2}{3}$ |
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e
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$-3$ |
What is the reciprocal of $-\dfrac{7}{4}?$
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a
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$\dfrac{4}{7}$ |
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b
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$-\dfrac{4}{7}$ |
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c
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$-\dfrac{7}{4}$ |
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d
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$\dfrac{7}{4}$ |
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e
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$1$ |
Calculate the reciprocal of
First, we write the mixed number as an improper fraction: Then, we flip the numerator and the denominator, keeping the negative sign. Therefore, the reciprocal of is
What is the reciprocal of $1\,\dfrac{5}{18}?$
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a
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$-\dfrac{1}{5}$ |
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b
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$-\dfrac{18}{23}$ |
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c
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$-5$ |
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d
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$-\dfrac{23}{18}$ |
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e
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$\dfrac{18}{23}$ |
What is the reciprocal of $-1\,\dfrac{2}{13}?$
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a
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$\dfrac{15}{13}$ |
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b
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$-2$ |
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c
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$\dfrac{1}{2}$ |
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d
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$-\dfrac{13}{15}$ |
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e
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$-\dfrac{5}{3}$ |
What is the reciprocal of
First, we must convert the decimal to a fraction. Doing this, we get
Now, we flip the fraction, as before. So the reciprocal of is
What is the reciprocal of $12.5?$
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a
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$0.25$ |
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b
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$0.8$ |
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c
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$0.08$ |
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d
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$0.2$ |
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e
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$1.2$ |
What is the reciprocal of $0.6?$
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a
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$\dfrac{5}{3}$ |
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b
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$\dfrac{1}{3}$ |
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c
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$\dfrac{7}{6}$ |
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d
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$\dfrac{5}{6}$ |
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e
|
$\dfrac{4}{3}$ |
Expressed as a fraction in its simplest form, the reciprocal of $-0.3$ is
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a
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b
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c
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d
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e
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The product of a number and its reciprocal is always equal to
For instance, the reciprocal of is If we multiply these two numbers together, we get
Similarly, the product of and its reciprocal is
In this case, we had a negative multiplied by a negative, which gave a positive.