VISUAL STEP-BY-STEP TUTOR

Compare Fractions Tutor

Decide which fraction is greater, less, or equal — then prove it by turning the fractions into same-size pieces.

Enter your own proper fractions with denominators from 2–12, or choose Random Problem for a simple comparison.

How Do You Compare Fractions?

Fractions are easiest to compare when they describe same-size pieces. If two fractions already have the same denominator, compare the numerators. If the denominators are different, rewrite the fractions with a common denominator first.

Example: Compare 2/3 and 3/5

2/3→10/15
3/5→9/15
10/15 > 9/15, so 2/3 > 3/5

The fractions did not change in value. We only renamed them using fifteenths, so the pieces are the same size and the numerators can be compared directly.

How the Tutor Works

  1. Make your first comparison

    Choose >, <, or = before the Tutor shows the written proof.

  2. Make the pieces the same size

    For unlike denominators, find the least common denominator and rewrite each fraction as an equivalent fraction.

  3. Compare the numerators

    Once both fractions use the same denominator, the larger numerator represents more same-size pieces.

  4. Connect the proof to the original fractions

    The completed work keeps the original comparison and the equivalent-fraction proof together.

For Parents and Teachers

This Tutor uses one consistent idea: same-size pieces first. Students can work through the comparison independently while the fraction bars show why the written method works.

If a student gets stuck, Show Me One Step completes only the current step and then gives control back to the student.

FAQ

Can I enter my own fractions?

Yes. Enter any proper fractions with denominators from 2 to 12, or choose Random Problem.

Can the two fractions be equal?

Yes. The Tutor supports >, <, and =, including equivalent fractions such as 1/2 and 2/4.

Does the Tutor use cross multiplication?

No. This version focuses on equivalent fractions and common denominators so students can connect the comparison to same-size pieces.

Can students use a hint?

Yes. Show Me One Step completes only the active step instead of revealing the whole solution.

Does this version support mixed numbers?

No. This first version focuses on proper fractions so the visual comparison stays clear.

Continue Learning Fractions

Keep the same-size-pieces idea and use it in the next fraction skills.