Paste fractions to calculate the LCD and rewrite every fraction with that common denominator.
Show denominator prime factors and prove each fraction is scaled to the same LCD.
| Fraction | Multiplier | Equivalent |
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Equivalent fraction forms should preserve the same rational value, and number-theory relationships should agree across factors, remainders, GCF, multiples, and prime structure. Use the connected tools to verify rather than relying on an isolated answer.
Equivalent fractions can hide shared factors in their denominators. Reducing each fraction first is not required to compute an LCD, but it makes the arithmetic easier to inspect and can reveal accidental input duplication or sign mistakes.
For fractions with integer denominators, find the least common multiple of those denominators. The numerators do not determine the LCD; they matter later when each fraction is rewritten with the common denominator.
Factor each denominator and retain the highest power of every prime that appears. Multiplying those powers should reproduce the LCD. This gives an independent check when the denominators are large or have several shared factors.
Once the LCD is known, multiply numerator and denominator by the same factor needed to reach that denominator. Do not change only the denominator, because that changes the value of the fraction.
Decimal approximations can obscure whether two rewritten fractions are exactly equivalent. Preserve integer numerators and denominators through the common-denominator work, then convert to decimal only if the downstream task actually needs it.
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