Adding Fractions with Different Denominators

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there are many ways to adding Fractions with Different Denominators.all of them are about making Denominators similarto adding Fractions with Different Denominators :

• Find the Least Common Denominator (LCD) of the fractions
• Rename the fractions to have the LCD
• Add the numerators of the fractions
• Simplify the Fraction if possible

example 5/6 + 3/2
determine the greatest common factor of 2 , 6 which is 6divide the GCF by denominators and multiply by numerator6/6 = 1 , 1 * 5(the numerator ) = 5 then 5/6 = 5/6 (Least Common Denominator)6 / 2 =3, 3* 3 (the numerator ) = 9 then 3/2 = 9/6 (Least Common Denominator)5 / 6 + 3/2 = 5/6 + 9/6 = 14/6 = 7/3
other solution we can solve this by other easy way ( right  if we adding two fractions only)find the common Denominator by multiply two dominator by each other 2 * 6 = 12multiply the dominator of the first fraction by numerator of the second fraction and multiply the dominator of the second fraction by numerator of first fraction 6 * 3 = 18 and 2 * 5 = 10 then 18/12 + 10/12 = 28/12 = 7/3