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What is the least common denominator of 56\frac{5}{6} and 14\frac{1}{4} ?

Full solution

Q. What is the least common denominator of 56\frac{5}{6} and 14\frac{1}{4} ?
  1. Identify Denominators: Identify the denominators of the fractions; 66 for 56\frac{5}{6} and 44 for 14\frac{1}{4}.
  2. List Multiples for LCM: List the multiples of each denominator to find the Least Common Multiple (LCM).\newlineMultiples of 66: 66, 1212, 1818, 2424, 3030, ...\newlineMultiples of 44: 44, 88, 1212, 6600, 6611, 2424, ...\newlineThe smallest common multiple is 1212.
  3. Find LCD: Therefore, the least common denominator (LCD) of 56\frac{5}{6} and 14\frac{1}{4} is 1212.