To write a fraction as a mixed number in simplest form, follow these steps:
- Divide the Numerator by the Denominator: Take the top number (numerator) of the fraction and divide it by the bottom number (denominator). This division will give you a whole number and a remainder.
- Write the Whole Number: The whole number you got from the division is the whole part of your mixed number.
- Form the Fraction: The remainder from your division becomes the new numerator, while the denominator remains the same. This means that your fraction now looks like this – remainder/denominator.
- Combine: Now combine the whole number with the new fraction to form your mixed number.
- Simplify if Necessary: If the new fraction can be simplified, do that to ensure your mixed number is in its simplest form.
For example, to convert the fraction 7/4 to a mixed number:
- Divide 7 by 4, which gives you 1 with a remainder of 3.
- This means the whole number is 1.
- The new fraction is 3/4 (the remainder over the original denominator).
- Putting it together, you write it as 1 3/4.
And that’s how you write a fraction as a mixed number in simplest form!