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5 Ways to Find the Least Common Denominator - wikiHow - Free Printable

5 Ways to Find the Least Common Denominator - wikiHow

Educational worksheet: 5 Ways to Find the Least Common Denominator - wikiHow. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: 5 Ways to Find the Least Common Denominator - wikiHow
- Find the least common multiple (LCM) of the denominators 4, 5, and 12.
- The prime factorizations are: 4 = 2 × 2, 5 = 5, 12 = 2 × 2 × 3.
- The LCM is the product of the highest powers of all primes: 2² × 3 × 5 = 60.
- Convert each fraction to have the denominator 60:
- 1/4 = (1 × 15)/(4 × 15) = 15/60
- 1/5 = (1 × 12)/(5 × 12) = 12/60
- 1/12 = (1 × 5)/(12 × 5) = 5/60
- Add the numerators: 15 + 12 + 5 = 32.
- The sum is 32/60.
- Simplify the fraction by dividing numerator and denominator by their greatest common divisor, 4: 32 ÷ 4 = 8, 60 ÷ 4 = 15.
- The final answer is 8/15.
Parent Tip: Review the logic above to help your child master the concept of fractions lowest common multiple.
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