What is the reciprocal of $\frac{1}{4}$ minus the reciprocal of $\frac{1}{13}$ minus the reciprocal of $-\frac{1}{23}$?

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$What is the reciprocal of frac14 minus the reciprocal of frac113 minus the reciprocal of frac123 class=$

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Intriguing456 Intriguing456 · Answer 1 · 2024-05-28T11:09:40-04:00

Answer:

14

Step-by-step explanation:

The reciprocal of a fraction is its flipped form.

[tex]\boxed{\text{reciprocal of }\dfrac{A}{B} \implies \dfrac{B}{A}}[/tex]

So, the reciprocals of the given fractions are:

Subtracting these sequentially, we get:

[tex]4-13-(-23)[/tex]

[tex]= 4 - 13 + 23[/tex]

[tex]= -9 + 23[/tex]

[tex]= 14[/tex]

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