STEM AND ASSESSMENT EVIDENCE WORKBENCH
Map two fractions to a least common partition, show compact filled-part bars, and verify equivalence with exact cross-products.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
The common partition is the least common multiple of the two denominators. Multiply each numerator by the same factor used to scale its denominator. Equal common numerators show the same filled proportion. Independently, a/b equals c/d exactly when a times d equals c times b for nonzero denominators. Both methods are reported for cross-checking. Equivalent means the two fractions locate the same value relative to an equal whole, despite different partition names. A different filled count in the common partition shows the size gap directly. Ask learners to name the scale factor and explain why numerator and denominator change together. For large partitions, the report uses counts instead of an unreadable character bar.
Confirm the prompt, approved source, units, symbols, notation, expected model, and review threshold. Keep an unchanged copy of observations or learner responses before editing any row.
Run the worked example, inspect intermediate rows, and compare the evidence with a hand calculation, diagram, physical model, periodic table, or moderated assessment source.
Record the method, assumptions, units, classifications, rounding, and flagged rows. Treat the downloaded report as editable evidence and verify it independently before instruction or assessment.
How to interpret the result
Use when learners need to connect multiplicative fraction equivalence with common partitions rather than rely on a cross-multiplication shortcut. It supports proper, zero, and improper fractions numerically and displays compact bars for readable partitions. It does not draw measured geometry, guarantee that learners interpret area accurately, or replace manipulatives, number lines, and verbal reasoning.
Two thirds becomes eight twelfths in a common twelve-part bar, so both filled counts match. Three fifths becomes six tenths and differs from nine tenths. Seven eighths and twenty-one twenty-fourths both become twenty-one twenty-fourths. Four sixths and ten fifteenths share the value two thirds even though their least common partition is thirty parts.
The common partition is the least common multiple of the two denominators. Multiply each numerator by the same factor used to scale its denominator. Equal common numerators show the same filled proportion. Independently, a/b equals c/d exactly when a times d equals c times b for nonzero denominators. Both methods are reported for cross-checking.
Equivalent means the two fractions locate the same value relative to an equal whole, despite different partition names. A different filled count in the common partition shows the size gap directly. Ask learners to name the scale factor and explain why numerator and denominator change together. For large partitions, the report uses counts instead of an unreadable character bar.
Do not add the same number to numerator and denominator, scale only one part, compare denominators alone, use unequal wholes, or assume more shaded pieces always means a larger fraction. Do not present cross-products without meaning. Connect the exact arithmetic to equal partitions, multiplication by one, simplification, and number-line location.
Learning boundary
This browser-local workbench applies only the disclosed model to entered values. It cannot diagnose a learner, certify an experiment, establish a chemical fact, classify a task automatically, or replace teacher and laboratory judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid names and other personal information, and retain authoritative records only in the system approved by the school.
No. It reports how the entered evidence behaves under one disclosed rule. Ask for reasoning and compare several evidence sources before reaching an educational conclusion.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, use the course method, and follow the applicable academic-integrity rules.
YOUR NIRMION
