Mixed Numbers Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
Add 356+2343\frac{5}{6} + 2\frac{3}{4}.

Solution

  1. 1
    LCD of 66 and 44: LCD=12\text{LCD} = 12. Convert: 356=310123\frac{5}{6} = 3\frac{10}{12} and 234=29122\frac{3}{4} = 2\frac{9}{12}.
  2. 2
    Add whole numbers: 3+2=53 + 2 = 5. Add fractions: 1012+912=1912\frac{10}{12} + \frac{9}{12} = \frac{19}{12}.
  3. 3
    Convert the improper fraction: 1912=1712\frac{19}{12} = 1\frac{7}{12}.
  4. 4
    Combine: 5+1712=67125 + 1\frac{7}{12} = 6\frac{7}{12}.

Answer

67126\frac{7}{12}
When the fraction parts of two mixed numbers add to an improper fraction, convert it to a mixed number and carry the whole-number part into the total whole-number sum.

About Mixed Numbers

A mixed number combines a whole number and a proper fraction, such as 3143\frac{1}{4}, representing the sum of the whole part and fractional part: 3+14=1343 + \frac{1}{4} = \frac{13}{4}.

Learn more about Mixed Numbers โ†’

More Mixed Numbers Examples