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About

Scenarios in cooking and construction often require splitting a fractional quantity into whole parts. For instance, halving a 3/4 cup recipe or dividing a 5/8 inch board into three sections. This calculator bypasses general division steps to focus specifically on this use case. It effectively multiplies the denominator by the integer. This method ensures the numerator remains untouched unless simplification is possible. Accurate material yields and ingredient ratios depend on this simple calculation.

fractions baking math carpentry division whole numbers

Formulas

When dividing a fraction by an integer n, the integer scales the denominator.

ab ÷ n = ab × n = abn

Reference Data

ScenarioFractionIntegerResult
Half a Recipe12 cup214 cup
Third of a Length34 inch314 inch
Quarter Share78 lb4732 lb

Frequently Asked Questions

Only if the resulting fraction can be simplified. In the initial multiplication step, only the bottom number (denominator) changes.
This is most commonly used in adjusting recipes (e.g., making half a batch) or dividing raw materials like wood or fabric.