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Unlike fractions addition and subtraction

Question

Unlike fractions addition and subtraction

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Solution

To add or subtract unlike fractions, follow these steps:

  1. Find a common denominator: Unlike fractions have different denominators, so you need to find a common denominator that both fractions can be expressed in. To do this, find the least common multiple (LCM) of the denominators.

  2. Convert the fractions: Once you have the common denominator, convert each fraction so that they have the same denominator. To do this, multiply the numerator and denominator of each fraction by the same value that will make the denominator equal to the common denominator.

  3. Perform the operation: For addition, add the numerators of the fractions together and keep the common denominator. For subtraction, subtract the numerators of the fractions and keep the common denominator.

  4. Simplify the result: If possible, simplify the resulting fraction by reducing it to its lowest terms. To do this, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.

  5. Write the final answer: Write the simplified fraction as the final answer.

Remember to always check your work and make sure your answer is in the correct form.

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