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# Reducing rational expressions to lowest terms - Khan Academy

(This is also known as "writing a fraction in lowest terms" ) · The denominator and numerator are both divided by  Try to exactly divide (only whole number answers) both the top and bottom of the fraction by 2, 3, 5, 7 , etc, until we can't go any further To simplify a fraction to lowest terms, divide both the numerator and the denominator by their common factors Keep on dividing,  To put a fraction in simplest form, keep dividing the numerator and denominator by the same number until you cannot go any further We achieve this by dividing the  So, reducing or simplifying fractions means we make the fraction as simple  The word simplify means to make something easier to do or understand A rational expression is reduced to lowest terms if the numerator and denominator have no factors in common This is said to be in its lowest terms To reduce a fraction to lowest terms, divide the numerator and denominator by their Greatest Common Factor (GCF) Calculator for simplifying fractions to reduce and simplify fractions Outputs ; Greatest Common Divisor (GCD), The biggest or largest integer value which will divide the numerator and denominator without producing a fraction This is  Very often, fractions are more  Simplify a fraction Given a fraction ab, for example 812, we can write it in its simplest form in three steps: Step 1: Find the highest common factor, HCF of the numerator and the  Type your numerator and denominator (numbers only please!) into the boxes, then click the  If needed, factor the numerator and denominator into prime numbers Repeat as needed until the only common factor is  Reducing fractions to lowest terms Example:  Removing common factors from the numerator and denominator will reduce the fraction to simplest form The numerator is the number above the fraction bar Method 1: Divide the numerator and denominator by a common factor between them until there are no more common factors A fraction is in its lowest or simplest term when the numerator and denominator have no common factors other than 1 This time, it takes only one step to get to the same result Calculator; How to Simplify a Fraction; Step One: Find the Greatest Common Factor; Step Two: Divide by the Greatest Common Factor; The Easiest Way to  A fraction fully simplified, a fraction reduced to its lowest terms is a fraction that can no longer be simplified, it has been reduced to its simplest  An improper fraction is a fraction that has a larger numerator than denominator The numerator and denominator of the fraction are reduced to the extent that  To simplify ; a fraction, cancel ; it down by dividing the numerator ; and denominator ; possible Simplifying a fraction means presenting a fraction in its simplest form which allows us to avoid having large numbers in the fraction For example, in 3 Interpret the numerator Simplifying and Reducing Fractions · Divide the numerator by the denominator · Write the result as the whole number · Write any remainder as the numerator of the  Second, divide both the numerator and  This calculator also simplifies proper fractions by reducing to lowest terms Eg Read More Related  A fraction is considered to be “simplified” when it is expressed in the lowest term · Note any factors which are common to the numerator and  For example,89,because 1 is the only common  If the fraction is 3/6, the HCF is 3, so divide 3 by 3  To put a fraction in lowest terms, find the largest number that divides both the numerator and the denominator A fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator Simplifying fractions is the process of reducing the numerator and denominator to their smallest whole numbers so the fraction is in its  Simplifying fractions involves reducing a fraction to its simplest form Method 1: Reduce fractions the formal way · Break down both the numerator (top number) and denominator (bottom number) into their prime factors To get the simplest form of the fraction, divide both the numerator and the denominator by the HCF For example, 104{displaystyle 2 Interpret the denominator Dividing the numerator 8 and the denominator 24 by 8 will directly give us the simplest form of the fraction, that  A fraction is simplified if there are no common factors (except 1) between the numerator and the denominator That means the only common divisor between the numerator and denominator is  Divide both the numerator and the denominator by  Summary: To simplify a fraction (reduce it to lowest terms), the numerator and the denominator must be divided by the same nonzero whole number The highest common factor of 8 and 24 is 8 We can reduce rational expressions to lowest terms  · Rewrite the numerator and denominator to show the common factors Let's look at an example: This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor (GCF) How do you simplify fractions? 99 is the denominator First, find the greatest common factor of the two numbers How to Simplify Fractions? · The first step is to identify a common factor of the denominator and numerator A fraction is  How are fractions reduced to their lowest terms Fractions can be simplified by dividing the numerator and denominator by their greatest common factor To simplify a fraction (or reduce it to its lowest terms) means to rewrite it such that its top and bottom numbers have no common factors (other than 1,  Simplified fractions are the fractions in their lowest, reduced and simplest form This is also called simplifying the fraction This page will show you how to reduce a fraction to lowest terms To reduce a fraction to its lowest terms, divide the numerator and denominator by  Reducing Fractions — Process & Practice 12 steps 1 Determine whether your fraction is improper Simplifying Fraction Tips Key Point: To simplify a fraction to its lowest term, divide the numerator and the denominator by the same number For example, in the fraction 104 It tells you how many equal pieces a whole is divided into Simplifying a Fraction - Reducing to its lowest terms · Factor the numerator and denominator into the product of prime numbers · Cancel all common factors between  What are the steps for reducing a fraction to simplest form? · Factor the numerator and denominator To simplify a fraction, divide both the top number and the bottom numbers by their greatest common factor (which is the largest number that will divide exactly  Note that when writing fractional answers, we will multiply out the numerator and leave the denominator in factored form Simplifying Fractions The GCF of 45 and 10 is  It tells you how many pieces you have Simplify a Fraction easily using the method of greatest common factor (GCF), this calculator will help you to reduce a fraction to lowest terms A fraction in simplest form has a numerator and denominator that don't share any  Reducing the fraction to the lowest terms means that there is no number, except 1, that can be divided evenly into both the numerator and  you how to use the GCF of the numerator and denominator to fully simplify a fraction! Keywords: problem; fraction; simplest form; greatest common factor  To simplify a fraction, we do the prime factorization of the numerator and denominator and any numbers that are on the top and the  The denominator is the number below the fraction bar To reduce a fraction, divide both the numerator and denominator by the GCF