Multiply and divide fractions and mixed numbers and interpret the result in context.
Divide mixed numbers
Problem
Find the quotient and simplify: \(2~1/4~\div~3/8\).
Big Picture
What this problem is really about
We’ll first convert the mixed-number dividend into an improper fraction. Then we’ll keep that fraction unchanged, replace division by three eighths with multiplication by its reciprocal, and cancel common factors before multiplying. Multiplying the quotient by the original divisor should reconstruct two and one fourth, checking both the reciprocal step and simplification.
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