Equation to find number: [tex]\frac{1}{n}[/tex] - 3 = [tex]\frac{20}{n}[/tex]
Number's value: n = [tex]-\frac{19}{3}[/tex]
Step-by-step explanation:
Let n be the unknown number.
The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be [tex]\frac{1}{n}[/tex].
The difference of three and the reciprocal of a number ([tex]\frac{1}{n}[/tex]) would be [tex]\frac{1}{n}[/tex] - 3.
The quotient of 20 and the number (n) would be [tex]\frac{20}{n}[/tex].
So, with this information we've gathered so far, we can come up with an equation to find what the number equals.
Equation: [tex]\frac{1}{n}[/tex] - 3 = [tex]\frac{20}{n}[/tex]
To find what the number equals we must solve the equation.