Adding and Subtracting fractions mid unit review practice pls

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Sure, I can help you with some practice problems for adding and subtracting fractions. Here's a step-by-step explanation on how to solve these problems:

1. Determine if the denominators are the same: To add or subtract fractions, the denominators (the numbers below the fraction line) must be the same. If the denominators are different, find the least common multiple (LCM) of the denominators and convert both fractions so they have the same denominator.

2. Convert the fractions: Multiply the numerator and the denominator of each fraction by the same number that will make the denominators the same. For example, if one fraction has a denominator of 3 and the other fraction has a denominator of 4, you would need to multiply the first fraction by 4 and the second fraction by 3.

3. Add or subtract the numerators: Once the fractions have the same denominator, add or subtract the numerators (the numbers above the fraction line). For addition, simply add the numerators together. For subtraction, subtract the second numerator from the first numerator.

4. Simplify, if necessary: If the resulting fraction can be simplified, reduce it to its simplest form. To do this, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD.

Let's work through an example:

Problem: Add 2/5 and 3/10.

Step 1: The denominators are different. The LCM of 5 and 10 is 10, so we need to convert both fractions to have a denominator of 10.

Step 2: Multiply the first fraction (2/5) by 2/2 to get 4/10. Multiply the second fraction (3/10) by 1/1 to keep it the same.

Step 3: Add the numerators: 4/10 + 3/10 = 7/10.

Step 4: The resulting fraction cannot be simplified further, so the final answer is 7/10.

Now, you can practice adding and subtracting fractions using the same steps.