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What are the steps in subtracting fractions with the unlike denominators?

Use example 5/6 - 3/5 = ?

1 Answer

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Final answer:

When subtracting fractions with unlike denominators, you need to find a common denominator. Then, you subtract the numerators and simplify the resulting fraction if needed.

Step-by-step explanation:

When subtracting fractions with unlike denominators, you need to find a common denominator. Here are the steps:

  1. Find the least common multiple (LCM) of the denominators.
  2. Convert each fraction to an equivalent fraction with the LCM as the denominator.
  3. Subtract the numerators of the fractions.
  4. Simplify the resulting fraction if needed.

For example, let's subtract 5/6 - 3/5:

  1. The LCM of 6 and 5 is 30.
  2. Convert 5/6 to an equivalent fraction with 30 as the denominator: (5/6) * (5/5) = 25/30.
  3. Convert 3/5 to an equivalent fraction with 30 as the denominator: (3/5) * (6/6) = 18/30.
  4. Subtract the numerators: 25/30 - 18/30 = 7/30.

So, 5/6 - 3/5 = 7/30.