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what is 15 of $16

what is 15 of $16

2 min read 23-12-2024
what is 15 of $16

Finding a fraction of a whole number, like calculating 15/16 of $16, might seem daunting at first. But with a clear understanding of fractions and a simple approach, you can solve this problem and similar ones with ease. This article provides a step-by-step guide to calculating 15/16 of $16.

Understanding Fractions

Before we dive into the calculation, let's refresh our understanding of fractions. A fraction represents a part of a whole. It's written as a numerator (the top number) over a denominator (the bottom number). The numerator tells you how many parts you have, and the denominator tells you how many equal parts the whole is divided into.

In our case, we have the fraction 15/16. This means we're looking for 15 out of 16 equal parts of a whole.

Calculating 15/16 of $16

Here's how to calculate 15/16 of $16:

Step 1: Set up the equation.

To find 15/16 of $16, we can set up a simple multiplication problem:

(15/16) * $16

Step 2: Simplify the equation.

Notice that we can simplify this equation. We're multiplying a fraction by a whole number. Think of $16 as 16/1. Our equation becomes:

(15/16) * (16/1)

Now, we can cancel out the common factor of 16 from both the numerator and the denominator:

(15/1) * (1/1)

Step 3: Perform the multiplication.

The simplified equation is now:

15 * 1 = 15

Step 4: State the answer.

Therefore, 15/16 of $16 is $15.

Real-World Applications

Understanding how to calculate fractions is crucial in various real-world scenarios. Whether you're splitting a bill, calculating discounts, or dealing with proportions in cooking or construction, this skill proves invaluable.

Alternative Methods

While the above method is the most straightforward, there are other approaches you could use. For instance, you could divide $16 by 16 to find the value of 1/16, and then multiply that result by 15 to obtain 15/16 of $16. This method yields the same answer: $15.

Conclusion

Calculating fractions can seem complex, but with a methodical approach and a clear understanding of the concepts involved, the process becomes much simpler. We've shown that 15/16 of $16 equals $15. This fundamental skill is applicable in numerous situations, making it a worthwhile concept to master. Remember to always break down complex problems into smaller, manageable steps!

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