How to Simplify Fractions in 3 Easy Steps
Dividing the numerator 8 and the denominator 24 by 8 will directly give us the simplest form of the fraction, that is, 1/3. So, the shortest way to break down a fraction into its simplest form is to divide the numerator and denominator by its highest common factor. Type in any fraction, and this calculator will reduce it to its simplest form as either an improper fraction or a mixed number. Also, this calculator will model the original and the simplified fraction with circles. The act of simplifying a given fraction down to its most reduced form the is main objective of this guide.
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.
For Improper Fractions
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.
Simplifying Fractions Calculator
For example, 11/23 is a simplified fraction as 11 and 23 do not have any common factors. Just enter your fraction, and we’ll instantly reduce it to its simplest form. Whether you’re working on maths homework, checking calculations, or just need a quick answer, this free online tool gives you the result in seconds. Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can reduce fractional number to their lowest terms or simplify fractions to their simplest form. The simplify fraction calculator has not yet performed a calculation.
An improper fraction is a fraction where the numerator is greater than the denominator. An improper fraction represents a value that is greater than a whole. Improper fractions can also be written as mixed numbers.
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.
How to Teach Simplifying Fractions?
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.
- We can say that a fraction is in its simplest form if both the numerator and the denominator have no common factors other than 1.
- 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.
- One uses prime numbers, while the other uses the greatest common factor (GCF) of the numerator and denominator.
- The number at the top is the numerator, and the one at the bottom is the denominator.
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.
How to Subtract Fractions in 3 Easy Steps (free Step-by-Step Guide for Students)
The rule of simplifying fractions is to cancel out the common factors in the numerator and simplify fractions the denominator of the given fraction. In other words, we have to make sure that the numerator and denominator should be co-prime numbers. Let’s get back to the same problem of simplifying the fraction 8/24.
Fraction Simplifier Tool
When we refer to simplifying fractions, we are talking about taking a fraction and reducing it down to its simplest form. When possible this calculator first reduces an improper fraction to lowest terms before finding the mixed number form. To simplify the fraction containing exponents, we use the expanded form of exponents and then cancel the common factors. In this method, we find prime factors of the numerator and denominator and cancel out the common factors from both parts. In this method, we first find the common factors of the numerator and denominator. Then, we divide both parts by their common factors until they have no common factor except 1.
- Figure 03 above compares the fractions 1/2 (one-half) and 3/6 (three-sixths).
- Enter your faction and we will attempt to reduce it to its most basic form to make it easier to work with in equations.
- The act of simplifying a given fraction down to its most reduced form the is main objective of this guide.
- Then, hit the Simply Fraction button and we’ll reduce it to the most basic simple fraction.
- To arrive at this answer, we divide the numerator and denominator by the common factor 3.
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.
Simplifying a fraction means reducing a fraction to its simplest form. A fraction is in its simplest form if its numerator and denominator have no common factors other than 1. An important step that we do while we solve fraction problems is to reduce them to the simplest form.
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.