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 Divide Radicals
How to Check Multiplication
How to Multiply 3 Fractions
Multiplying Fractions
How to Write an Equivalent Fraction With a Given Denominator
How to Convert a Fraction to a Ratio
How to Divide Rational Numbers
How to Write the Remainder As a Whole Number
How to Type a Mixed Fraction in a TI-83 Plus
How to: Improper Fractions Into Proper Fractions
How to Add & Subtract Radical Expressions With Fractions
How to Get a Remainder in Your Calculator
How to Square a Fraction With a Variable
How to Find the X Intercept of a Function
How to Get Rid of a Variable That Is Cubed
How to Subtract Mixed Numbers With Regrouping
How to Do Fractions on a TI-30X IIS
How to Do Exponents Outside of the Parenthesis
How to Simplify Algebraic Expressions

Dont Go!

We Have More Great Sciencing Articles!