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  3. Convert Mixed Numbers to Improper Fractions

Convert Mixed Numbers to Improper Fractions

Prism Mix

A dusk glass studio, copper frames, and hexagonal prisms. Shade facets to match a mixed number like 1 1/6. Then type the improper fraction on the workbench pad. A clean shade and a clean write both score. Built for fourth-grade mixed numbers.

MathFractions3rd–5th

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How to Play Prism Mix

  1. 1

    Pick a Bench

    Eight cuts or survival with three lives. Easy uses one whole and small denominators. Hard uses more wholes and finer cuts.

  2. 2

    Read the Mix

    The mixed number sits above the prisms. Fill that many wholes, then the leftover fraction.

  3. 3

    Shade Facets

    Tap a facet or drag across them. Fill exactly. Going over costs a life in survival and breaks the streak.

  4. 4

    Write the Improper Fraction

    Type how many facets that is over how many make one whole. A hit deals the next mix.

Key Features

  • Shade the Mix

    Each prism is cut into equal facets. Tap or drag to fill. One full prism is one whole. Stop on the leftover part.

  • Then Write It

    The keypad wakes up. Type the numerator, then the denominator. The same mixed number becomes an improper fraction.

  • Instant Cuts

    A perfect fill pops points and locks the glass. Too many facets flash a miss. A wrong fraction clears the boxes.

  • Score You Chase

    Each step starts at +100 and climbs with the streak. A clean eight-cut run adds a studio bonus. Best scores save per mode and difficulty.

What is Prism Mix?

Prism Mix is a mixed-number conversion game. Hexagonal glass prisms stand in for wholes. Students shade facets to match a mixed number, then type the equivalent improper fraction. The picture and the digits stay linked. Buttons and labels follow the site locale.

Why Play Prism Mix?

  • 1

    See the Wholes

    A mixed number is not two separate marks. Full prisms are the whole. The leftover prism is the fraction.

  • 2

    Count, Then Write

    Students count shaded facets before they write the numerator. That is the conversion, not a trick.

  • 3

    Touch First

    Drag to paint. The keypad sits under the board. Play sits under the pad.

  • 4

    A Score That Moves

    Point pops and a streak make fraction conversion feel like a studio shift, not a worksheet.

Frequently Asked Questions

How do I turn a mixed number into an improper fraction?

Multiply the whole by the denominator, then add the numerator. That sum is the new numerator. The denominator stays the same. 1 1/6 becomes 7/6.

What happens if I shade too many facets?

That is a miss. The extra facet does not stick. The streak resets. In survival you lose a life.

Do I need a physical keyboard?

No. The workbench pad types digits. A physical keyboard also works when the write step is open.

What do Easy, Medium, and Hard change?

How many wholes appear and how finely each prism is cut. Hard uses up to three wholes and eighths.

What grade is this for?

Third through fifth grade, when students convert mixed numbers and improper fractions. Fourth grade is the main fit.

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