How are equivalent fractions used to add fractions?

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How are equivalent fractions used to add fractions?

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12.

How do you find equivalent fractions for mixed numbers?

All mixed numbers have equivalent improper fractions. They’re converted by multiplying the integer by the denominator, then adding the numerator. The denominator will stay the same.

What do equivalent fractions have to do with adding and subtracting fractions?

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 is adding and subtracting mixed numbers similar to adding and subtracting fractions?

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Adding and subtracting a mixed number is very similar to adding and subtracting proper fractions. The big difference is that there are whole numbers in the mix. To add the fractions we need common denominators. Now that we have common denominators, we can add the numerators and leave the denominator the same.

How do you add fractions with numbers?

To add fractions there are Three Simple Steps:

  1. Step 1: Make sure the bottom numbers (the denominators) are the same.
  2. Step 2: Add the top numbers (the numerators), put that answer over the denominator.
  3. Step 3: Simplify the fraction (if possible)

How do you add a mixed fraction and proper fraction with the same denominator?

Adding mixed numbers with like denominators

  1. To add mixed numbers with the same denominator, follow these steps:
  2. First, add the whole numbers.
  3. Then, add the fractions. Add the numerators and keep the denominator the same.
  4. Now, simplify.

Why is it important to know how do you add and subtract fractions?

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Fractions help children understand the nature of numbers and their interactions (e.g., the meaning of division). If a child doesn’t understand how fractions work, it will interfere with his ability to learn algebra later.