Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication
The product of a number and its reciprocal is always 1.
The reciprocal of a number is 1 divided by the number.
Therefore, the reciprocal of a rational number is its inverse (swap the numerator and denominator).
For example:
[tex]\textsf{The reciprocal of 6 is}\:\:\sf \dfrac{1}{6}[/tex]
[tex]\implies \sf 6 \times \dfrac{1}{6}=\dfrac{6 \times 1}{6}=\dfrac{\diagup\!\!\!\!6 \times 1}{\diagup\!\!\!\!6}=1[/tex]
[tex]\sf \textsf{The reciprocal of }\:\dfrac{3}{4} \sf \:\:is\:\:\sf \dfrac{4}{3}[/tex]
[tex]\sf \implies \dfrac{3}{4} \times \dfrac{4}{3}=\dfrac{3 \times 4}{4 \times 3}=\dfrac{12}{12}=1[/tex]
