Work Out $\frac{5}{8}$ Of 132.
Understanding the Problem
To work out $\frac{5}{8}$ of 132, we need to understand what the problem is asking for. The problem is asking us to find the product of $\frac{5}{8}$ and 132. In other words, we need to multiply $\frac{5}{8}$ by 132.
Multiplying a Fraction by a Whole Number
When we multiply a fraction by a whole number, we can multiply the numerator of the fraction by the whole number and keep the denominator the same. In this case, we can multiply 5 by 132 and keep 8 as the denominator.
Calculating the Product
To calculate the product, we can multiply 5 by 132 and then divide the result by 8.
5 × 132 = 660
Now, we need to divide 660 by 8.
660 ÷ 8 = 82.5
Conclusion
Therefore, $\frac{5}{8}$ of 132 is equal to 82.5.
Real-World Applications
This problem has many real-world applications. For example, if you are a salesperson and you want to find the total cost of 132 items that cost $\frac{5}{8}$ of the total cost, you can use this problem to find the answer.
Example
Suppose you are a salesperson and you want to find the total cost of 132 items that cost $\frac{5}{8}$ of the total cost. You can use the problem above to find the answer.
Let's say the total cost of the items is x. Then, the cost of each item is $\frac{5}{8}$ of x. Since there are 132 items, the total cost of the items is 132 × $\frac{5}{8}$ of x.
Using the problem above, we can calculate the total cost of the items as follows:
132 × $\frac{5}{8}$ of x = 82.5x
Therefore, the total cost of the items is 82.5x.
Tips and Tricks
When multiplying a fraction by a whole number, it's always a good idea to multiply the numerator by the whole number and keep the denominator the same. This will make it easier to calculate the product.
Common Mistakes
One common mistake that people make when multiplying a fraction by a whole number is to multiply the denominator by the whole number. This will give you the wrong answer.
For example, if you multiply $\frac{5}{8}$ by 132, you might get $\frac{5}{8}$ × 132 = $\frac{660}{8}$ = 82.5. However, this is not the correct answer. The correct answer is 82.5, but the mistake is that you multiplied the denominator by the whole number instead of multiplying the numerator by the whole number.
Conclusion
Q: What is the product of $\frac{5}{8}$ and 132?
A: The product of $\frac{5}{8}$ and 132 is 82.5.
Q: How do I multiply a fraction by a whole number?
A: To multiply a fraction by a whole number, you can multiply the numerator of the fraction by the whole number and keep the denominator the same.
Q: What is the numerator and denominator of a fraction?
A: The numerator of a fraction is the number on top, and the denominator is the number on the bottom. For example, in the fraction $\frac{5}{8}$, 5 is the numerator and 8 is the denominator.
Q: Can I multiply the denominator by the whole number instead of the numerator?
A: No, you should not multiply the denominator by the whole number. This will give you the wrong answer. Instead, multiply the numerator by the whole number and keep the denominator the same.
Q: What is the real-world application of this problem?
A: This problem has many real-world applications. For example, if you are a salesperson and you want to find the total cost of 132 items that cost $\frac{5}{8}$ of the total cost, you can use this problem to find the answer.
Q: How do I calculate the product of a fraction and a whole number?
A: To calculate the product of a fraction and a whole number, you can follow these steps:
- Multiply the numerator of the fraction by the whole number.
- Keep the denominator the same.
- Divide the result by the denominator.
Q: What is the difference between multiplying a fraction by a whole number and multiplying a whole number by a fraction?
A: When you multiply a fraction by a whole number, you multiply the numerator by the whole number and keep the denominator the same. When you multiply a whole number by a fraction, you multiply the whole number by the numerator and keep the denominator the same.
Q: Can I use a calculator to calculate the product of a fraction and a whole number?
A: Yes, you can use a calculator to calculate the product of a fraction and a whole number. However, it's always a good idea to understand the concept and be able to calculate the product manually.
Q: What are some common mistakes to avoid when multiplying a fraction by a whole number?
A: Some common mistakes to avoid when multiplying a fraction by a whole number include:
- Multiplying the denominator by the whole number instead of the numerator.
- Not keeping the denominator the same.
- Not following the correct order of operations.
Q: How can I practice multiplying fractions by whole numbers?
A: You can practice multiplying fractions by whole numbers by using online resources, such as math worksheets or online calculators. You can also practice by working through problems on your own or with a partner.