How to Write an Equivalent Fraction With a Given Denominator

A calculator can be a handy tool for writing and comparing equivalent fractions.
••• Jupiterimages/BananaStock/Getty Images

Fractions can appear different but still have the same value. Fractions that have different numerators and denominators but represent the same amount are called equivalent fractions. Equivalent fractions are fractions that are not reduced or simplified, and they are an important tool in evaluating and comparing proportions. To create an equivalent fraction, a fraction’s numerator and denominator can both be multiplied or divided by a single number. You can write an equivalent fraction with a given denominator by finding how that denominator relates to the other fraction.

    Write down a fraction and the denominator of the proposed equivalent fraction. For example, the fraction is 3/4 and the equivalent fraction's denominator be 80.

    Divide the new denominator into the original fraction's denominator. In this example, 80 divided by 4 equals 20.

    Multiply the quotient to the numerator of the original fraction, then write the product as the numerator over the equivalent fraction's denominator. Concluding this example, 20 multiplied by 3 equals 60, and 60 over 80 becomes 60/80.

    Tips

    • As a check, divide the numerator by the denominator in both equations. If the fractions are equivalent, the quotient will be the same.

Related Articles

How to Convert PSIs to KPIs
How to Convert Pounds Per Square Foot to PSI
How to Get the Fraction Equivalent of a Whole Number
How to Convert a Fraction to a Ratio
How to Find a Percent of a Fraction
How to Find a Z Score
What Are Consecutive Fractions?
How do I Calculate 0.1%?
How to Change 1/4 to a Decimal Form
How to Divide Fractions With Ease
How to Calculate a Fraction to a Decimal
How to Calculate Correlation
How Do You Simplify Your Slope
How to Calculate an Equivalent Fraction
How to Calculate Volume of a Rectangular Prism
How to Find the Height of a Rectangular Pyramid
How to Figure Out the Slope of a Line
How to Turn Fractions Into Integers
How to Calculate 2/3 of a Number
How to Find the X Intercept of a Function