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simplest form.

(1)/(48)+(5)/(6)

Find the sum.Give your answer in simplest form.\newline148+56 \frac{1}{48}+\frac{5}{6}

Full solution

Q. Find the sum.Give your answer in simplest form.\newline148+56 \frac{1}{48}+\frac{5}{6}
  1. Identify LCM: Identify the least common multiple (LCM) of the denominators 4848 and 66 to combine the fractions.\newlineThe LCM of 4848 and 66 is 4848 because 4848 is the smallest number that both 66 and 4848 can divide into without leaving a remainder.
  2. Convert Fraction: Convert the fraction 56\frac{5}{6} to have the common denominator of 4848. To do this, multiply both the numerator and the denominator by 88, because 4848 divided by 66 equals 88. 56×88=4048\frac{5}{6} \times \frac{8}{8} = \frac{40}{48}
  3. Add Numerators: Now that both fractions have the same denominator, add the numerators together. 148+4048=(1+40)48\frac{1}{48} + \frac{40}{48} = \frac{(1 + 40)}{48}
  4. Perform Addition: Perform the addition of the numerators. 1+40=411 + 40 = 41 So, 148+4048=4148\frac{1}{48} + \frac{40}{48} = \frac{41}{48}
  5. Simplify Fraction: The fraction 4148\frac{41}{48} is already in its simplest form because 4141 and 4848 have no common factors other than 11.

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