Simplify Fractions Calculator Reduce to Simplest Form
✅ Instant Results – Get simplified fractions in real time. And what is the simplest form of a fraction with negative numbers, e.g., -4/6? You only need to know that the negative number factors are the same as the positive ones multiplied by -1. Click here to go to our the answer section on this website, that will tell you how to reduce fractions with step-wise instruction. They’re created by multiplying or dividing both the top and bottom numbers by the same value.
- The GCD is the largest number that divides both numerator and denominator evenly.
- We can make a complicated fraction as simple as possible by following the process of simplifying the fraction.
- An improper fraction is a fraction where the numerator is higher than the denominator (or more precisely, their absolute values follow this rule).
- To arrive at the first answer (1/3), you need to divide the numerator and denominator by 4.
Fraction simplifier with steps
Always simplify your final answer when working with fractions to ensure you’ve found the most reduced form. To arrive at the first answer (1/3), you need to divide the numerator and denominator by 4. To arrive at the second answer (2/6), you need to divide the numerator and denominator by 2. The resulting fraction, 2/3, is in simplest form because both 2 and 3 do not share any factors other than 1. Check these interesting articles related to simplifying fractions. The result at the bottom is our simplified fraction, 3/4.
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To simplify a fraction, we divide both the top number (numerator) and bottom number (denominator) by their greatest common factor (GCF). This makes the fraction smaller without changing its value. To simplify a fraction, simply enter the numerator/top number (on the left side) and the denominator/lower number (on the right side) of the input but.
Simplifying Fractions with Exponents
Then, we write it in the mixed number form by placing the quotient as the whole number, the remainder as the numerator, and the divisor as the denominator. Let us go through the following example to understand this better. Simplifying a fraction implies reducing a fraction to its lowest form. A fraction is in its simplest form if its numerator and denominator are co-prime or have no common factors except 1.
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This is also known as “writing a fraction in lowest terms”. Writing a fraction in its simplest form means that both top and bottom numbers can no longer be divided by the same whole number other than 1. Make sure you have the simplest form of the fraction, with the numerator and denominator as small as possible, by using this simplify fraction calculator. Enter the numerator above the line and the denominator below the line and click the “Simplify Fraction” button to perform the calculation. The simplify fraction calculator reduces the fraction to its simplest form and shows you the GCF and the work and steps of the calculation.
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.
Simplifying Fractions
Use the expanded form of each term in the numerator and denominator to make it easy for you to simplify the fraction with variables. Here is a simplify fractions step-by-step process for you to understand the process of simplifying a fraction. Consider the fraction, 8/24 and follow the steps mention below to understand how to simplify the fraction 8/24. All of these are equivalent fractions, but only is in simplest form. We can simplify all of the other equivalent fractions and find that the simplest form of those fractions will be .
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.
- This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved.
- The Fraction Calculator will reduce a fraction to its simplest form.
- In order to find the simplified form of a fraction, take a look at an easy way to simplify the fraction.
- Imagine that the objects we are dealing with are two cakes, each divided into two equal parts.
- Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.
The number above the fraction bar is called the numerator, and the number below the fraction bar is the denominator. A fraction is in its simplest form (irreducible, in its lowest terms) when the numerator and denominator have no common factors other than 1. In that case the greatest common factor (also called greatest common divisor or highest common factor) is 1. The strategy that we used will serve as the basis for the 3-step method for simplifying fractions that you will learn in the next section. Large fractions can be simplified by dividing the numerator and denominator by the common prime factors to reduce it to the simplest form. Now, let us also discuss an easy way to simplify fractions.
Our interactive tools and resources help students master fraction concepts through engaging learning experiences. A fraction is fully simplified when the GCD of its numerator and denominator is 1. The GCD is the largest number that divides both numerator and denominator evenly. Express the numerator and denominator as the product of variables. You buy two extra-large pizzas of the same size but different shapes. The Hawaiian is divided into 16, and the Hot dog stuffed crust is cut into 24 pieces.
This is useful when you need to compare fractions or find common denominators. A mixed number shows the fraction as a whole number plus a proper fraction. This format is often used in cooking recipes and everyday measurements. Now that all of the factors are listed, we can see that 66 and 93 share a greatest common factor of 3. And now as you can see, 1/3 and 3/9 are equivalent fractions. No complicated steps, no sign-ups—just quick, accurate fraction simplifications.