How To Find LCD Fractions?

Find the LCD by listing the multiples of each denominator

Identify the smallest common multiple shared by all denominators

If denominators are small, use prime-factorization to build the LCD

Prime-factor each denominator into primes

Take the highest power of each prime that appears in any denominator

Multiply those highest powers together to get the LCD

If denominators share factors, include them only once at the highest needed power

Rewrite each fraction with the LCD as the common denominator by multiplying numerator and denominator by the missing factor

Use the LCD to combine fractions (add or subtract numerators, keep the LCD as the denominator)

Simplify the result by dividing numerator and denominator by their GCD if possible

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