# Mistakes give rise to problems- 7

Algebra Level 4

$\large \displaystyle \dfrac{a}{\frac{b}{c}} = \dfrac{\frac{a}{b}}{c}$

The above equation is a common mistake made when interpreting fractions.

How many ordered triplets of integers $${(a,b,c)}$$ with $$-10\leq a,b,c \leq 10$$ are there, such that the above equation is a true statement?

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