How to Find Equivalent Ratios to Fractions


A ratio expresses the relation between an independent and dependent variable or the relation of different parts of a whole to each other. Rewriting a fraction as a ratio provides the additional information of units, making it easier to interpret the information. You must first convert fractions to simplest form or find the common denominator of multiple fractions before finding the equivalent ratio.

Rewriting a Single Fraction as a Ratio

  • Write the fraction in simplest form by identifying the greatest common factor between the numerator and denominator and dividing it into both numbers. For example, the fraction 15/25 is 3/5 in simplest form because the greatest common factor of 15 and 25 is 5, and dividing the top and the bottom of the fraction by 5 results in 3/5.

  • Identify the units of the numerator and denominator in the fraction. The numerator is usually the independent variable of a story problem, and the denominator is usually the dependent variable. For example, if the fraction of a pie eaten in an hour is 3/5, the numerator is in units of pies and the denominator is in units of hours.

  • Rewrite the fraction as a ratio by writing the units after their corresponding number and connecting them with the word "to." For example, the fraction 3/5 would be written as a ratio of 3 pies to 5 hours.

Rewriting a Set of Fractions as a Ratio

  • Find the least common multiple of all the denominators of the fractions.

  • Rewrite all fractions by determining the number you have to multiply each denominator by to make it equal the least common multiplier, and then multiplying the numerator and denominator by that number. This will make it so that all the fractions have a common denominator.

  • Rewrite the fractions as a ratio by taking the numerators of all the fractions and separating them with colons or the word "to." For example, if the a pie was 2/5 blueberry, 1/5 rhubarb and 2/5 apple, the ratio of ingredients would be "2 : 1 : 2" or "2 to 1 to 2." Include the units if desired: "2 blueberry to 1 rhubarb to 2 apple."


  • Photo Credit Hemera Technologies/ Images
Promoted By Zergnet


You May Also Like

  • How to Find Ratios

    A ratio is a way of comparing the quantity, amount or size of two or more things. Using the following information, you...

  • How to Find Mole Ratio

    When you compare amounts of chemicals as they relate to each other, you need the mole ratio. A mole is 6.022 x...

  • How to Figure Bore-to-Stroke Ratio

    In a piston engine, the "bore-to-stroke ratio" describes the relationship between the cylinder bore and the piston stroke. Bore-to-stroke ratio often aids...

  • How to Find Equivalent Transistors

    Transistors are special types of electrical components that amplify current. All transistors have three main electrical leads: a base, a collector and...

  • How to Find the Common Ratio

    Numerical series and their common ratios can lead to astonishing results. A king once agreed to pay the inventor of chess with...

  • How to Find the Common Ratio of a Fraction

    Calculating the common ratio of a geometric series is a skill you learn in calculus and is used in fields ranging from...

  • How to Determine if Two Ratios Are Equivalent

    Ratios express a relationship between two numbers. For example, the ratio 3:5, in terms of shots made and shots taken, means that...

  • How to Calculate the Fill Ratio of a Conduit

    Cable conduits serve as housing for bundles of electrical conductors or wires. The fill ratio measures the amount of space the conductors...

Related Searches

Check It Out

Can You Take Advantage Of Student Loan Forgiveness?

Is DIY in your DNA? Become part of our maker community.
Submit Your Work!