Keep in mind that the lowest prime number is 2.ģ. Bring down any number that is not divisible. start with the smallest number that will divide into at least 2 of the denominators. divide the denominators in step 1 by prime numbers. copy the denominators and arrange them in a rowĢ. if necessary, reduce the answer to lowest terms Prime number Whole number greater than 1 that is only divisible by itself and 1,ġ is not a prime number Using prime numbers to find the LCD Ex. add the numerators and place the total over the lcdĤ. ![]() change each fraction to a like fraction with the LCDģ. 3/7+5/21ħ becomes 21 because and 3 becomes 9 because 7x3 = 21 and you do the same to the numerator so 3x3 = 9 Adding unlike fractions 1. If the total of your numerators is the same as your denominator, convert to whole number, if the total numerator is larger than denominator, convert to mixed number ILeast common denominator (LCD) Smallest nonzero whole number into which all denominators will divide evenly, FInding lcd by inspection ex. Add the numerators and place total over the denominatorĢ. multiply the common number from step 1 by the old numerator and place it as the new numerator over the new denominator Like fractions Proper fractions with the same denominators, Unlike fractions Proper fractions with different denominators, Common denominator To add two or more fractions, denominators must be the same, Adding like fractions 1. divide the new denominator by the old denominator to get the common number that raises the fraction to higher termsĢ. ![]() Now you have reduced the fraction to its lowest terms, since no number (except 1) can divide evenly into the numerator and denominator Raising fractions to higher terms when the denominator is known 1. ![]() Divide the numerator and denominator by the greatest common divisor. By inspection, find the largest whole number (greatest common divisor) that will divide evenly into the numerator and denominator (does not change the fraction value)Ģ. Higher terms Expressing a fraction with a new numerator and denominator that is equivalent to the originalĢ/9 -> 6/27 Reducing fractions to lowest terms might result in More than one division Greatest common divisor The largest possible number that will divide evenly into both the numerator and denominator Lowest terms Expressing a fraction when no number divides evenly into the numerator and denominator except the number 1ĥ/10 -> 1/2 Reducing Fractions to lowest terms by inspection 1.
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