mixed numbers

• Mixed numbers


  A number that has a whole number part and a fractional part
• Adding mixed numbers

  1. Rewrite the problem vertically

  2. Find a common denominator

  3. Rename the fractions using the common denominator

  4. Add the fractions

  5. Add the whole numbers
• Subtracting mixed numbers


  1. Rewrite the problem vertically

  2. Find a common denominator

  3. Rename the fractions using the common denominator

  4. Subtract the fractions

  5. Subtract the whole numbers
• Multiplying mixed numbers

  1. Convert the mixed numbers to improper fractions

  2. Multiply the numerators

  3. Multiply the denominators

  4. Convert the result back to a mixed number
• Dividing mixed numbers

  1. Convert the mixed numbers to improper fractions

  2. Keep the first fraction

  3. Switch the division to multiplication

  4. Flip the second fraction (take the reciprocal)

  5. Multiply the numerators

  6. Multiply the denominators

  7. Convert the result back to a mixed number
• When adding, subtracting, multiplying or dividing mixed numbers, it is important to first convert them to improper fractions
• To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, then keep the same denominator
• To convert an improper fraction back to a mixed number, divide the numerator by the denominator to get the whole number part, and the remainder becomes the numerator of the fractional part
• When simplifying a mixed number, look to see if the fractional part can be reduced to its simplest form