Mixed numbers consist of a whole number and a fraction, for example two and a half (2 ½). An improper fraction is a fraction whose top number (numerator) is bigger than its bottom number (denominator). For example, five halves (5/2) is an improper fraction. Sometimes, to work with fractions, you have to convert a mixed number into an improper fraction, or vice versa, and this section explains how to do so.
Click on the titles below to view each example.
Convert 11 over 6 to a mixed number.
Line 1: Divide the denominator into the numerator. Remember that 11 over 6 means 11 divided by 6.
Line 2: Divide 6 into 11 and identify the quotient as 1, the divisor as 6 and the remainder as 5.
Line 3: Write the mixed number as the quotient followed by the remainder over the divisor, so the mixed number is 1 and 5 over 6.
Convert 4 and 2 over 3 to an improper fraction.
Line 1: In the numerator, multiply the whole number by the denominator, and add to the original numerator, so the numerator becomes 4 times 3 plus 2. The denominator does not change so it stays as 3.
Line 2: Simplify the numerator so the improper fraction is 14 over 3.
Examples Source: "Prealgebra - opens in a new window" by Lynn Marecek & Mary Anne Anthony-Smith is licensed under CC BY 4.0 - opens in a new window / A derivative from the original work - opens in a new window