Mixed Numbers Explorer

Help students see fractions. Build tape diagrams, convert mixed numbers to improper fractions, and divide mixed numbers with step-by-step visuals.

1) Build a Fraction Visually

Wholes Numerator Denominator

This makes a mixed number of 1 1/4. Each bar is partitioned into equal parts (denominator). Shaded parts show the numerator.

2) Convert Mixed Improper (Concept + Computation)

Whole Numerator Denominator

Idea (why it works)

A whole contains denominator parts. So W wholes contain W*d parts. Add the extra numerator parts.

Calculation

(2 * 5 + 3) / 5 = 13/5

Improper fraction: 13/5

3) Divide Mixed Numbers

We will convert to improper, then use the algorithm Keep Change Flip. Follow each step.

(Dividend) A = whole /

(Divisor) B = whole /

Step 1. Convert to improper:

Step 2. Keep Change Flip:

Step 3. Cross-simplify (if possible):

Step 4. Multiply numerators & denominators:

Step 5. Final Answer (simplify and mixed form):