Sequentially divide the numerator and the denominator by the common factors until they have no common factor other than 1. Determine the common factors of the numerator and the denominator. Find all the factors of the numerator and the denominator of a given fraction. The above algorithm can be reformulated as follows: So, this fraction can be reduced to the lowest terms by dividing the numerator and the denominator by 21 giving as a result the fraction 2/11. The greatest common divisor of 42 and 231 is the number 21.Ģ. If the found greatest common divisor is not equal to 1 then after the division you will get a simplified form if the initial fraction.Īs another example, let’s consider the fraction 42/231.ġ. Divide the numerator and the denominator by this greatest common divisor. Find the greatest common divisor of the numerator and the denominator of a given fraction. In this example, 13 was the greatest common factor for the numerator and the denominator of 39/91.Īs a result, we come to the following simple algorithm for simplifying fractions. So, 3/7 is said to be an irreducible fraction. It is important to note that the fraction 3/7 cannot be simplified further because the numerator and the denominator of this fraction do not have a common divisor other than 1. As a result of this division, we get the simplified fraction 3/7. To make sure that both of these fractions are equivalent, just notice that the numerator and the denominator of the fraction 39/91 are simultaneously divisible by 13: 39/13 = 3 and 91/13 = 7. For example, it is much easier to carry out calculations with the fraction 3/7 than with the fraction 39/91, although both fractions are equivalent in a sense that they express the same part of the whole. When working with fractions it is always more convenient to deal with fractions reduced to their simplest form. Our reduce fraction calculator also converts an improper fraction into a mixed number (mixed fraction). A fraction is irreducible when the greatest common factor of their numerator and denominator equals to 1. The percent form is 14.14%.Fraction simplification (or reducing fractions) is a process of presenting a fraction in the form of an irreducible proper fraction. To obtain the percent, move the decimal point two units to the right.Įxample: Convert 14/99 to a decimal and percent. To convert a fraction to a decimal, simply divide the numerator by the denominator on your calculator. How to Convert a Fraction to a Decimal and Percent This final number is your new numerator.Įxample: Convert 7 16/ 81 to an improper fraction. Then, add this number to the numerator of the fractional part. To convert a mixed number into an improper fraction, first multiply the whole number part by the denominator. How to Convert a Mixed Number to an Improper Fraction First we have 500÷43 = 11 with remainder 27. The whole number plus the fraction part is the mixed number.Įxample: Convert 500/43 to a mixed number. Then place the remainder over the denominator to obtain the fraction part. To convert an improper fraction to a mixed number, first divide the numerator by the denominator to obtain a whole number. How to Convert an Improper Fraction to a Mixed NumberĪn improper fraction is a simple fraction in which the numerator is larger than the denominator. Since 60 is the largest number that divides into both 600 and 540, 60 is the GCD. Then divide both the numerator and denominator by this factor to obtain the reduced fraction.Įxample: Reduce 600/540. To reduce a simple fraction, first look for the greatest common divisor of both the numerator and denominator. The calculator will reduce the fraction if necessary, convert between improper and mixed number form if applicable, and convert the fraction to a decimal and percent. To use the calculator, enter the fraction as either a simple fraction (numerator over denominator), or as a mixed number. You can apply the instructions below to simplify fractions, or use the convenient fraction calculator on the left. Putting a fraction in its lowest terms or decimal form can help you simplify math problems on homework assignments, and prove useful in real-life applications too. Reducing fractions, converting improper fractions to mixed numbers and vice versa, and changing fractions to decimals and percents are all useful operations in arithmetic.
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