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10. (4.NF.B.3.C) Subtract the fractions. Simplify your answer, if possible. * You need to regroup, so draw a picture using GRAPH paper

Ask by Lewis Harris. in the United States
Jan 24,2025

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Answer

To subtract the fractions, find a common denominator, convert the fractions, subtract them, and simplify if possible. For example, \( \frac{3}{4} - \frac{1}{2} = \frac{1}{4} \).

Solution

To solve the problem of subtracting fractions, we first need to identify the fractions involved. However, since the specific fractions to subtract are not provided, I will demonstrate the process using an example. Let's say we want to subtract the fractions \( \frac{3}{4} \) and \( \frac{1}{2} \). ### Step 1: Find a common denominator The denominators of the fractions are 4 and 2. The least common denominator (LCD) of 4 and 2 is 4. ### Step 2: Convert the fractions We need to express both fractions with the common denominator of 4: - The first fraction \( \frac{3}{4} \) is already in terms of the denominator 4. - The second fraction \( \frac{1}{2} \) needs to be converted: \[ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \] ### Step 3: Subtract the fractions Now we can subtract the two fractions: \[ \frac{3}{4} - \frac{2}{4} = \frac{3 - 2}{4} = \frac{1}{4} \] ### Step 4: Simplify the answer The fraction \( \frac{1}{4} \) is already in its simplest form. ### Final Answer The result of subtracting \( \frac{3}{4} \) and \( \frac{1}{2} \) is: \[ \frac{1}{4} \] ### Drawing a Picture Since I cannot draw directly here, I recommend using graph paper to visually represent the fractions. You can shade 3 out of 4 parts for \( \frac{3}{4} \) and 2 out of 4 parts for \( \frac{2}{4} \). Then, show the remaining part after the subtraction, which will be 1 out of 4 parts shaded to represent \( \frac{1}{4} \). If you have specific fractions you would like to subtract, please provide them, and I can assist you further!

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Bonus Knowledge

Let's take a journey into the magical world of fractions! When we subtract fractions, especially with different denominators, think of them like puzzle pieces that need fitting together. To regroup, you might want to visualize the fractions using images or drawings. Grab that graph paper and sketch out your fractions, giving each piece its own space, making it easier to see the whole picture before making your subtraction. Now, let's think about a common mistake: forgetting to find a common denominator! If you're attempting to subtract 1/4 from 1/3, you'll need to convert both fractions to have the same bottom number. This involves multiplying to reach that common ground, and if you skip this step, you'll end up with the wrong answer! Remember, every fraction has a secret identity; finding it will help you solve those subtraction puzzles smoothly!

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