Jamit Fractions - Lesson Contents For Parents or Teachers: Create printable worksheets for your kids based on this lesson. Please visit the Fraction Worksheets pages.  # Mixed Fractions ### FRACTION TYPES

There are 3 different types of fractions:

• Proper Fractions

Numerator < Denominator
Proper fractions have the numerator part smaller than the denominator part,
for example , or .

• Improper Fractions

Numerator > Denominator or Numerator = Denominator,
Improper fractions have the numerator part greater or equal to the denominator part,
for example or .

• Mixed Fractions

A mixed fraction is a whole number plus a fraction, for example 2 or 123 .
Mixed Fractions are sometimes called mixed numerals or mixed numbers.

### CONVERTING MIXED FRACTIONS TO IMPROPER FRACTIONS

Consider the mixed fraction . It reads as "one whole and two fifths".     There are 5 fifths in 1 whole.     And there are 2 fifths in , giving 5 + 2 = 7 fifths altogether.

i.e.  TO CALCULATE THE NUMERATOR when converting  mixed to improper fractions:

• Multiply the whole number of the mixed fraction by the denominator
• Add on the numerator of the fraction part

### Example:

Write the mixed fraction as an improper fraction.

SOLUTION:      There are 2 x 3 thirds in 2 wholes .   There are 2 thirds in .
2 x 3 + 2 = 8 thirds altogether.

2   ### CONVERTING IMPROPER FRACTIONS TO MIXED FRACTIONS

Let us convert to the improper fraction.
Do you still remember what the vinculum mean?
The fraction (or seven halves) means "7 divided by  2".

TO CHANGE THE IMPROPER fraction to a mixed fraction DIVIDE
the numerator by the denominator

• The quotient (i.e. the result of division) is the whole number part of the mixed fraction
• The remainder is the numerator of the fraction part of the mixed fraction

Thus , or 7 divided by 2, is  3 remainder 1, so  ### Example:

Write the fraction as a mixed fraction.

SOLUTION: = (because 11 divided by 4 is 2 remainder 3).  Site Links Jamit Fractions | Fraction Worksheets | Fraction Games | Online Games