Adding Three Fractions with Different Denominators

Adding three fractions with different denominators involves a few steps. Foremost thing is to turn the unlike into like denominators by taking LCM of denominators. For example, LCM of denominators 4,6,8 would be 24. Hence 24 will be a common denominator. Here is the online Add 3 Unlike Fractions Calculator for adding three fractions with different denominators. Enter the values for three unlike fractions and click calculate to find the resultant value.

Add 3 Unlike Fractions Calculator


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Formula:

lcm = LCM (b1,b2,b3) Sum of Unlike denominators = (a1*(lcm/b1) + a2*(lcm/b2) + a3*(lcm/b3)) / lcm Where, a1, a2, a3 = Numerators b1, b2, b3 = Denominators LCM = Least Common Multiple

Example:

Add three fractions with different denominators for the values a1 as 5, a2 as 4, a3 as 3, b1 as 7, b2 as 8 and b3 as 6.

Solution:

lcm = LCM (b1,b2,b3)
Sum of Unlike denominators = (a1*(lcm/b1) + a2*(lcm/b2) + a3*(lcm/b3)) / lcm
= 288 / 168
= 1.7143

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