simplify fractions

Simplify Fractions Calculator Reduce to Simplest Form

Try to exactly divide (only whole number answers) both the top and bottom of the fraction by 2, 3, 5, 7 ,… To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly. This web site owner is mathematician Dovzhyk Mykhailo. I designed this web site and wrote all the mathematical theory, online exercises, formulas and calculators. No rights can be derived from the information and calculations on this website.

It helps us to do calculations involving fractions much easily. For an instance, it is easier to add 1/2 and 1/2 as compared to 2/4 + 4/8. Try our Mixed Fraction Simplifier Tool for quick and easy fraction reduction. Simplifying fractions means reducing the fraction to its most reduced form whenever possible.

• The result at the bottom is our simplified fraction, 3/4.
• In this case, 18 and 27 share a greatest common factor of 9.
• To simplify proper fractions, we first find the GCF (greatest common factor) of the numerator and denominator and then divide both by their GCF.
• In this method, we first find the common factors of the numerator and denominator.

Fraction Calculator Tools

You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. Simplifying a fraction means making a fraction as simple as possible. A quick way to find the simplest form of a fraction is to work out with the highest common factor. Follow the steps given below to learn the shortest way. Simplifying fractions involves reducing a fraction to its simplest form.

Equivalent Fractions Method

The simplest form of a fraction is equivalent to the given fraction. For example, the fraction 3/4 is in the simplest form because 3 and 4 have no common factor except 1. Let’s try simplifying the fraction 8/24 step by step. To simplify improper fractions, we divide the numerator and denominator by their GCF and then convert them to mixed numbers. A mixed fraction is a mixture of a whole and a proper fraction. In order to simplify a mixed fraction, you need to simplify the fractional part only.

Fractioncalculator.com in no way guarantees that the information and the the calculations on this website are correct. Now, let’s work through one more example of how to simplify a fraction that is proper. In this case, 18 and 27 share a greatest common factor of 9. For starters, let’s review the difference between the numerator of a fraction and the denominator of a fraction.

How to Simplify Fractions?

Before moving on, the key takeaway here is that any fraction in simplest form will be equivalent to whatever fraction you started with. However, this new simplified fraction is in its lowest form and can not be simplified further. For example, 3/5 is in simplest form because 3 and 5 do not share a greatest common factor other than 1. Any fraction can be fully reduced to its lowest terms by dividing both the numerator and denominator by their greatest common divisor. The Fraction Calculator will reduce a fraction to its simplest form.

To arrive at this answer, we divide the numerator and denominator by the common factor 3. So, you finally learned the way of simplifying fractions with exponents. On this page is a fraction simplifier or a simplify fractions tool. Enter your faction and we will attempt to reduce it to its most basic form to make it easier to work with in equations. An improper fraction is a fraction where the numerator is higher than the denominator (or more precisely, their absolute values follow this rule). You can also write any improper fraction as a mixed number – a whole number with a regular fraction.

How to reduce fractions?

Before you learn how to simplify fractions, it’s important that you have a strong foundational understanding of what fractions are in general. One of the most important math skills related to fractions is understanding how to simplify fractions. Simplifying fractions mean reducing the fraction in its lowest form.

If they simplify fractions both share a non-1 factor, you can divide the numerator and denominator to find a smaller fraction. Convert improper fractions to mixed numbers in simplest form. This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved.

Everyday Calculation

• You buy two extra-large pizzas of the same size but different shapes.
• They’re created by multiplying or dividing both the top and bottom numbers by the same value.
• Enter your numbers below and see your fraction in its simplest form.
• To reduce a fraction into its simplest form, divide the numerator and denominator by their highest common factor.
• The Hawaiian is divided into 16, and the Hot dog stuffed crust is cut into 24 pieces.
• Whenever we simplify a fraction, we are not changing the value of the fraction.

The simplify fractions calculator will reduce fractions. The calculator will generate a step-by-step explanation on how to obtain the results. To reduce the fraction both the numerator and denominator have to be divided by that common factor. Whenever we have to simplify a fraction, you are trying to reduce it down to the point where it can no longer be simplified.

Ultimate Math Solver (Free)

As a result, we can reduce the fraction -4/6 to -2/3. In other words, we can say that 4/8 and 2/4 are equivalent fractions. If you divide a cake into four equal parts, then give your friends two of the four pieces; the pieces you give away represent the fraction 2/4 or 1/2. The number at the top is the numerator, and the one at the bottom is the denominator. Simplifying (or reducing) fractions means to make the fraction as simple as possible. Making fractions fun and easy to understand for everyone.

For example, 8/12 simplifies to 2/3 because both numbers can be divided by 4. A fraction represents an object that has been divided into equal parts. Simplify fractions to their lowest terms with our interactive tool. See how the Greatest Common Divisor (GCD) is found and applied to reduce fractions. Perfect for students learning about fraction simplification and teachers demonstrating the process. The result, 22/31, is in simplest form because both 22 and 31 do not share any factors other than 1.

Though we simplify them, the value of the fraction is going to remain unchanged. This means the simplified fraction and the actual fraction form a pair of equivalent fractions. In this article, we will learn a few easy ways of simplifying fractions. Improper fractions are those in which the numerator is greater than or equal to the denominator. To simplify improper fractions we need to convert them to mixed fractions, and for that, we need to divide the numerator by the denominator.