Solve Mixed Number Addition: 4⅚ + 1 1/12

Question

456+1112= 4\frac{5}{6}+1\frac{1}{12}=

Video Solution

Solution Steps

00:00 Solve
00:04 The formula for converting a mixed fraction to a fraction
00:11 We'll use this formula in our exercise and convert to fractions
00:30 Multiply to find the common denominator
00:41 Add with the common denominator
00:51 Now we'll convert back to a mixed fraction
00:55 Break down 71 into 60 plus 11
00:59 Break down the fraction into whole number and remainder
01:03 Convert from improper fraction to whole number and combine into mixed fraction
01:09 And this is the solution to the question

Step-by-Step Solution

To solve the addition of the mixed numbers 456 4\frac{5}{6} and 1112 1\frac{1}{12} , follow these steps:

  • Step 1: Add the whole numbers.
    The whole numbers are 4 and 1, so we add these together:
    4+1=5 4 + 1 = 5 .
  • Step 2: Add the fractional parts.
    First, find a common denominator for the fractions 56\frac{5}{6} and 112\frac{1}{12}. The least common denominator of 6 and 12 is 12.
    Convert 56\frac{5}{6} to twelfths: 56=5×26×2=1012\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}.
    Now add the fractions: 1012+112=1112\frac{10}{12} + \frac{1}{12} = \frac{11}{12}.
  • Step 3: Combine the results.
    Add the whole number and the sum of the fractions:
    5+1112=511125 + \frac{11}{12} = 5\frac{11}{12}.

Thus, the sum of 456+1112 4\frac{5}{6} + 1\frac{1}{12} is 51112 5\frac{11}{12} .

Answer

51112 5\frac{11}{12}