How to Solve Improper Fraction Math Problems

Adding and subtracting fractions sometimes results in improper fractions.
••• Pixland/Pixland/Getty Images

Improper fractions contain a numerator that is equal to or greater than the denominator. These fractions are described as improper because a whole number can be pulled out from them, yielding a mixed number fraction. This mixed number fraction is a simplified version of the number and, therefore, is more desirable because it removes complexity in further operations that may be preformed. Performing operations on improper fractions is a pre-algebra exercise that allows students to become familiar with the concept of rational numbers.

    Complete all operations indicated on an improper fraction as normal. For example, (3/2 ) * ( 5/2) = 15/4.

    Divide the top number by the bottom number. If there is a remainder write it down for later use. In our example, 4 divides into 15 three times. This yields 3 with a remainder of 3.

    Write down the whole number.

    Create a fraction beside the whole number with the original denominator value. Continuing from above, 3 ( /4).

    Place the remainder from above into the blank numerator. In conclusion, 15 / 4 = 3 3/4.

    Check your work by multiplying the denominator by the whole number portion of the mixed number and adding the product to the numerator. Checking the above yields ((4 * 3) + 3)) / 4 = 15 / 4. This check proves the operation was a success and that the improper fraction was simplified properly.

Related Articles

How to Convert a Fraction to a Ratio
How to Do Fractions on a TI-30X IIS
How to: Improper Fractions Into Proper Fractions
How to Type a Mixed Fraction in a TI-83 Plus
How to Factor Polynomials With 4 Terms
How to Turn Improper Fractions Into Whole Numbers
How to Check Multiplication
How to Factor Polynomials with Coefficients
Multiplying Fractions
How to Solve Distributive Properties With Fractions
How to Rename a Fraction
How to Divide Rational Numbers
Basic Mathematics Skills
How to Get a Remainder in Your Calculator
How to Subtract, Add & Simplify Fractions
How to Multiply Fractions by Percentages
How to Write the Remainder As a Whole Number
How to Find the X Intercept of a Function
How to Find a Fraction of a Number

Dont Go!

We Have More Great Sciencing Articles!