Mixed numbers are numbers that include a whole number and a fraction together. They show amounts greater than one whole.
Each mixed number can also be written as an improper fraction. For example, 1 12 = 32.
When the denominators are the same, add the whole numbers and the fractions separately, then simplify if needed.
If the fraction part is greater than one whole, regroup it. For example, 5 65 = 6 15.
When the denominators are different, first find a common denominator. Then, change each fraction to an equivalent fraction, add, and simplify if necessary.
Always check that the fractions have the same denominator before you add. Simplify the final answer if possible.
To subtract mixed numbers, subtract the whole numbers and the fractions separately. If the top fraction is smaller, borrow 1 from the whole number and convert it into a fraction.
Always check your borrowing carefully. When you borrow 1 whole, it equals the denominator as a fraction (for example, 1 = 66).
You can add or subtract a whole number and a fraction or mixed number by combining the whole number parts and the fractional parts separately.
If your result has an improper fraction, rewrite it as a mixed number to make it easier to read and understand.
After solving, always check if the fraction can be simplified or if the answer can be written as a proper mixed number.
Simplifying fractions makes your final answer clear and accurate.