To convert the improper fraction 31/6 into a mixed number, you need to follow a few simple steps:
- Divide the numerator by the denominator: Divide 31 by 6. When you do this, you find that 31 ÷ 6 = 5 with a remainder of 1.
- Write down the whole number: The result of the division gives you the whole number part of the mixed number. In this case, it is 5.
- Determine the fractional part: To find the fractional part, take the remainder from the division, which is 1, and place it over the original denominator, 6. So, the fractional part is 1/6.
- Combine the two parts: Now combine the whole number and the fractional part to express the mixed number. Thus, 31/6 as a mixed number is 5 1/6.
In conclusion, 31/6 is expressed as the mixed number 5 1/6.