How to convert 84/38 to a mixed number?

Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 84/38 (or 2.2105263157895 in its decimal form), can be rewritten as what we call "mixed numbers", providing a clearer understanding and representation of the value.

Step-by-step conversion of 84/38 to a mixed number

  1. Simplify the fraction (84/38) by dividing both the numerator and the denominator by their GCD (2): 84/2 = 42 and 38/2 = 19. This gives 42/19.
  2. Use the Euclidean division method to divide the numerator (42) by the denominator (19): 42 ÷ 19 = 2 remainder 4
  3. The integer of the mixed number is equal to the quotient (2) of the long division.
  4. The numerator of the fractional part is equal to the remainder (4) of the long division.
  5. The denominator of the fractional part remains the original denominator (19).
  6. Combine these element to form the fractional part: 2 4 19

Thus, the result of converting 84 38 to a mixed number is: 2 4 19

Please note that it should be read as "2 and 4/19", not "2 multiplied by 4/19".