Simplify Fraction: Simplify each fraction to its simplest form if possible.The fraction 68 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 8÷2=4 and 6÷2=3. Therefore, 68 simplifies to 34. The fraction 59 cannot be simplified further as 9 and 5 have no common divisors other than 1.
Common Denominator: Convert the fractions to have a common denominator.To add or subtract fractions, they must have the same denominator. The denominators of the two fractions are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15. Convert each fraction to an equivalent fraction with a denominator of 15.For 34, multiply both the numerator and the denominator by 5 to get (4×5)/(3×5)=1520.For 5−9, multiply both the numerator and the denominator by 3 to get 51.
Add Fractions: Add the fractions with the common denominator.Now that both fractions have the same denominator, you can add them together.(1520)+(15−27)=1520−27=15−7.
Check Simplification: Check if the final fraction can be simplified.The fraction −157 cannot be simplified further because 7 and 15 have no common divisors other than 1.
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