Mixed Numbers & Improper FractionsATI TEAS 7 cheat sheet

Convert both directions

10 key facts Reviewed Oct 2026

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Mixed → Improper

Multiply the whole number by the denominator
Add the numerator
Keep the same denominator
3 ⅖ = (3×5+2)/5 = 17/5

Improper → Mixed

Divide numerator by denominator
Quotient is the whole number, remainder is the new numerator
17/5 = 3 ⅖

Why It Matters

Multiply and divide are far easier as improper fractions
Answer choices are usually written as mixed numbers — convert back

Simplify

Reduce the fraction part before writing the final answer

Key takeaway

Convert both directions

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