Multiplicative inverse
In order to obtain the multiplicative inverse (or reciprocal) of a fraction, you have to interchange numerators and denominators.
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Remember
A multiplicative inverse for a number x which is different from 0, is a number which when multiplied by x results in the multiplicative identity, 1.
Making a reciprocal of 0 is not possible.
Making a reciprocal of 0 is not possible.
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Hint
The multiplicative inverse of a number (except 0) is formed by imagining a 1 in the denominator.
Example: $3=\frac31$. The multiplicative inverse of $\frac31$ is $\frac13$
In general, you can say: The multiplicative inverse of an integer $x$ is $\frac1x$.
Example: $3=\frac31$. The multiplicative inverse of $\frac31$ is $\frac13$
In general, you can say: The multiplicative inverse of an integer $x$ is $\frac1x$.
Examples:
- The multiplicative inverse of $\frac58$ is $\frac85$
- The multiplicative inverse of $10$ is $\frac{1}{10}$
- The multiplicative inverse of $\frac{25x}{13a}$ is $\frac{13a}{25x}$