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Understanding how to translate percentages into fractions is crucial for solving many math problems. Remember that a percentage is simply a way to express a number out of 100. For instance, 50% means 50 out of 100. Want to turn this into a fraction?
Just place the percentage number over 100 to create a fraction. For example, 50% becomes \( \frac{50}{100} \). Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor. 50 divided by 50 is 1, and 100 divided by 50 is 2, so \( \frac{50}{100} \) simplifies to \( \frac{1}{2} \).
When dealing with 100%, put it over 100. So 100% becomes \( \frac{100}{100} \), which simplifies to 1. This tells us that 100% is the same as the whole amount. Now you know how to translate percentages to fractions!

Once you understand how to translate percentages into fractions or decimals, the next step is setting up an equation. Let's say the problem is asking for '100% of 13.'
First, convert the percentage into a fraction. We already learned that 100% translates to 1. The equation now becomes:
\[ x = 1 \times 13 \]
Think of this as finding a part of a whole. Setting up the problem this way makes it clear what you're solving for. Here, ‘x’ represents the answer we’re looking for. Setting up an equation properly helps in visualizing the math operation needed, making the problem easier to solve.

With our equation set up, solving it becomes straightforward. Let's look at the equation from the previous section:
\[ x = 1 \times 13 \]

Solving it involves performing basic arithmetic operations. Here, you'll simply multiply 1 by 13.

• 1 \times 13 = 13

So, value of x is 13. This step requires applying basic multiplication rules, which most students are familiar with. The goal is to isolate the unknown (in this case, x) and solve for it. When you've done this, you have your answer. It’s as simple as that! Now you've solved the problem, confirming that 100% of 13 is indeed 13.