Mixed Numbers Math Example 2

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

Example 2

medium
Subtract 413โˆ’1344\frac{1}{3} - 1\frac{3}{4}.

Solution

  1. 1
    Find the LCD of 33 and 44: LCD=12\text{LCD} = 12.
  2. 2
    Convert fractions: 413=44124\frac{1}{3} = 4\frac{4}{12} and 134=19121\frac{3}{4} = 1\frac{9}{12}.
  3. 3
    Since 412<912\frac{4}{12} < \frac{9}{12}, regroup: 4412=316124\frac{4}{12} = 3\frac{16}{12}.
  4. 4
    Subtract: whole parts 3โˆ’1=23 - 1 = 2; fraction parts 1612โˆ’912=712\frac{16}{12} - \frac{9}{12} = \frac{7}{12}.
  5. 5
    Result: 27122\frac{7}{12}.

Answer

27122\frac{7}{12}
When the fraction part of the minuend is smaller than the fraction part of the subtrahend, regroup 1 whole from the whole-number part and add it to the fraction part before subtracting.

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