How to Divide Ratios

Ratios can be frustrating, but don't have to be.
••• Jupiterimages/ Images

Ratios cannot be expressed as whole-number integers. These numbers are known as rational numbers and are a superset above integers, whole numbers and natural numbers. The mathematical manipulation of ratios is commonly first presented in pre-algebra studies. The division of one ratio by another creates what is known as a complex fraction. Complex fractions are evaluated using standard rules of algebra. In this manipulation, the division operation is changed, and the complex fraction broken into two smaller fractions.

    Create a fraction that has a numerator equal to the ratio being divided and the denominator equal to the ratio it is being divided by. For example, (3/5) / (1/3) represents 3/5 divided by 1/3.

    Invert the denominator and change the division symbol to a multiplication symbol. Continuing the example, (3/5) / (1/3) = (3/5) * (3/1).

    Multiply the numerators and denominators. For example, (3/5) * (3/1) = 9/5.

    Simplify the fraction as much as possible.

Related Articles

How to Convert a Fraction to a Ratio
How to Write a Ratio in Different Ways
How to Find a Percent of a Fraction
How to Convert Pounds Per Square Foot to PSI
How to: Improper Fractions Into Proper Fractions
How to Do Fractions on a TI-30X IIS
How to Divide Rational Numbers
How to Compare Ratios
How to Calculate a Percentage and Solve Percent Problems
How to Solve Rational Expression Equations
How to Write an Equivalent Fraction With a Given Denominator
How to Calculate the Percentage of Another Number
How to Convert a Division to a Fraction
Test Your Knowledge on Middle School Science
How to Find the X Intercept of a Function
How to Change 1/4 to a Decimal Form
How to Find a Z Score
How to Use Log on a TI-83
How to Divide Negative Fractions
How to Divide Polynomials By Monomials

Dont Go!

We Have More Great Sciencing Articles!