STEM PRACTICE AND EVIDENCE WORKBENCH
Review exact fraction-equivalence judgments with cross-products while preserving independent-practice evidence.
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
Fractions a over b and c over d with nonzero denominators are equivalent exactly when a times d equals c times b. Exact integer cross-products avoid repeating-decimal rounding and keep the multiplicative comparison visible. Supported means the yes-or-no judgment matches the exact products. Independence remains a separate entered condition. Ask for scale-factor, common-denominator, area, length, or number-line reasoning before drawing a conclusion about understanding.
Confirm the question, source, units, notation, response coding, model assumptions, and review threshold. Keep an unchanged copy of the original evidence.
Run the worked example, inspect every intermediate row, and compare it with a hand calculation, diagram, representation, or approved subject method.
Record the method, assumptions, units, classifications, and flagged rows. Verify the editable report independently before educational or laboratory use.
How to interpret the result
Use across varied fraction pairs when multiplicative reasoning and response conditions matter. It verifies numeric equivalence. It does not score explanations, prove independence, select a visual model, diagnose a learner, or authorize placement.
Two thirds equals eight twelfths, three fifths does not equal nine tenths, and seven eighths equals 21 twenty-fourths even when support was used. Four sixths also equals ten fifteenths, so the final no claim is flagged.
Fractions a over b and c over d with nonzero denominators are equivalent exactly when a times d equals c times b. Exact integer cross-products avoid repeating-decimal rounding and keep the multiplicative comparison visible.
Supported means the yes-or-no judgment matches the exact products. Independence remains a separate entered condition. Ask for scale-factor, common-denominator, area, length, or number-line reasoning before drawing a conclusion about understanding.
Do not add the same number to numerator and denominator, scale only one part, compare denominator size, round decimals, ignore signs, or treat cross-products as an unexplained trick. Connect the arithmetic to equal quantities and varied models.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, or replace teacher, laboratory, and safety judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid personal information and retain authoritative records only in the approved school system.
No. It describes entered evidence under one disclosed rule. Review reasoning, uncertainty, access, and several evidence sources.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow course and academic-integrity rules.
YOUR NIRMION
