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How do you add fractions with unlike denominators step by step?

How do you add fractions with unlike denominators step by step?

Steps for Adding Fractions with Unlike Denominators

  1. Identify the least common denominator by finding the least common multiple for the denominators.
  2. Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM))
  3. Add the equivalent fractions that you wrote in step 2.
  4. Simplify if necessary.

Can you add or subtract fractions with different denominators?

Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers. Rewrite the fractions as equivalent fractions with the LCM as the denominator.

How do you subtract two fractions with different denominators?

To do this, you need to find the least common multiple (LCM) of the two denominators. To subtract fractions with unlike denominators, rename the fractions with a common denominator. Then subtract and simplify.

How do you subtract mixed fractions step by step?

The steps are the same whether you’re adding or subtracting mixed numbers:

  1. Find the Least Common Denominator (LCD)
  2. Find the equivalent fractions.
  3. Add or subtract the fractions and add or subtract the whole numbers.
  4. Write your answer in lowest terms.

What is the rule for adding and subtracting fractions?

To add or subtract fractions they must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.

How do you add and subtract 3 mixed numbers?

The fractions have the same denominators so you can start by adding the first two fractions. Add the fractions before adding the whole numbers. Then, take the sum and subtract the third fraction. Subtract the fractions before subtracting the whole numbers.

What do you call fractions with different denominators?

Fractions with different denominators are called the unlike fractions. For example, 2/3, 4/9, 6/67, 9/89 are unlike fractions.

How do you solve 3 mixed numbers?

Here’s an example of a multiplication problem with three mixed numbers:

  1. Change all mixed numbers to improper fractions.
  2. Reduce the fractions.
  3. Cross out any common factors.
  4. Multiply the numerators together and the denominators together.
  5. Reduce the answer.
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