How to Simplify T + T + T Divided by 4: A Step-by-Step Guide
Quick Answer
To simplify T + T + T divided by 4, first combine the terms to get 3T. Then, divide by 4 to get the equivalent expression as 3T/4 or 3/4 T.
Let's break down how to simplify the expression T + T + T divided by 4 in a clear and straightforward manner. When you see T + T + T, you are essentially adding the same term, T, three times. In mathematics, this can be simplified using multiplication. Instead of writing T three times, you can multiply the number of times T appears by the variable itself. This gives us 3T, which stands for 3 times T.
Next, we want to divide this sum by 4. So, we take our simplified expression, 3T, and divide it by 4. This results in the equivalent expression of 3T/4, which can also be written as the fraction $ rac{3T}{4}$.
To illustrate this further, let's consider a practical example. Suppose T represents a certain number, like 8. If we plug this value back into our expression, we would first calculate T + T + T, which would be 8 + 8 + 8 = 24. Then, dividing 24 by 4 gives us 6. If we apply our simplified expression 3T/4, substituting 8 for T, we get: 3(8)/4 = 24/4 = 6. This confirms that both methods yield the same result.
Understanding how to simplify expressions like this is essential in mathematics, as it helps you work with equations more efficiently. It's especially important in algebra, where you'll often encounter similar problems. Simplifying expressions not only makes calculations easier but also aids in solving more complex equations down the line. This skill is invaluable, as it enhances your problem-solving abilities in various real-world scenarios, such as budgeting or calculating distances.
In summary, the expression T + T + T divided by 4 simplifies to 3T/4. Remember this method of combining like terms and dividing to streamline your calculations in future math problems!
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