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# Math: Basic Tutorials

## Mixed Numbers & Improper Fractions

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.

## Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions Video transcript - RTF

## Converting Between Mixed Numbers and Improper Fractions

Converting Between Mixed Numbers and Improper Fractions Video transcript - RTF

## Examples & Activity

### Examples

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.

### Activity

Try this activity to test your skills. If you have trouble, check out the information in the module for help.