Convert Fraction 12/5 to Mixed Number: Step-by-Step Solution

Question

Write the fraction as a mixed number:

125= \frac{12}{5}=

Video Solution

Step-by-Step Solution

To convert the improper fraction 125 \frac{12}{5} into a mixed number, we need to understand how to express the fraction as a combination of a whole number and a proper fraction.

  • Step 1: Divide the numerator by the denominator. We have 12÷5 12 \div 5 .
  • Step 2: Perform the division.
    When dividing 12 by 5, the quotient is 2, since 5×2=10 5 \times 2 = 10 . This gives us the whole number part of the mixed number.
  • Step 3: Determine the remainder.
    The remainder is 1210=2 12 - 10 = 2 . This remainder becomes the numerator of the fractional part.
  • Step 4: Write the mixed number.
    Using the quotient and remainder, we express the fraction as a mixed number: 225 2\frac{2}{5} .

Therefore, the fraction 125 \frac{12}{5} as a mixed number is 225 2\frac{2}{5} .

Answer

225 2\frac{2}{5}