Understanding the Concept of Decreasing in Ratios

Oct 13, 2025 by talynt.org 62 views

Understanding the Problem

To decrease a number in a given ratio, we need to understand the concept of ratios and proportions. A ratio is a way of comparing two or more numbers by division. In this case, we are given a ratio of 1:3, which means for every 1 unit of the first quantity, there are 3 units of the second quantity.

Decreasing 72 in the Ratio 1:3

To decrease 72 in the ratio 1:3, we need to find the factor by which we need to multiply 72 to get the desired result. Since the ratio is 1:3, we can multiply 72 by 1/3 to get the decreased value.

Calculating the Decreased Value

Let's calculate the decreased value of 72 in the ratio 1:3.

# Import necessary modules
import math
original_value = 72
ratio = 1/3
decreased_value = original_value * ratio
print("The decreased value of 72 in the ratio 1:3 is:", decreased_value)

When we run this code, we get the decreased value of 72 in the ratio 1:3 as 24.

Understanding the Concept of Decreasing in Ratios

Decreasing a number in a given ratio involves finding the factor by which we need to multiply the original number to get the desired result. This factor is determined by the ratio itself. In this case, the ratio is 1:3, which means we need to multiply 72 by 1/3 to get the decreased value.

Real-World Applications of Decreasing in Ratios

Decreasing a number in a given ratio has many real-world applications. For example, in finance, we may need to decrease a certain amount of money in a given ratio to calculate the interest or dividend. In engineering, we may need to decrease a certain value in a given ratio to calculate the stress or strain on a material.

Conclusion

In conclusion, decreasing a number in a given ratio involves finding the factor by which we need to multiply the original number to get the desired result. This factor is determined by the ratio itself. By understanding the concept of decreasing in ratios, we can apply it to various real-world scenarios.

Frequently Asked Questions

Q: What is the decreased value of 72 in the ratio 1:3?

A: The decreased value of 72 in the ratio 1:3 is 24.

Q: How do I calculate the decreased value of a number in a given ratio?

A: To calculate the decreased value of a number in a given ratio, you need to multiply the original number by the factor determined by the ratio.

Q: What are the real-world applications of decreasing in ratios?

A: Decreasing a number in a given ratio has many real-world applications, including finance and engineering.

References

Math Open Reference: A website that provides interactive math lessons and games.
Purplemath: A website that provides free online math lessons and tutorials.

Glossary

Ratio: A way of comparing two or more numbers by division.
Proportion: A statement that two ratios are equal.
Factor: A number that divides another number exactly without leaving a remainder.

Understanding the Problem

Q&A: Decreasing 72 in the Ratio 1:3

Q: What is the decreased value of 72 in the ratio 1:3?

A: The decreased value of 72 in the ratio 1:3 is 24.

Q: How do I calculate the decreased value of a number in a given ratio?

A: To calculate the decreased value of a number in a given ratio, you need to multiply the original number by the factor determined by the ratio.

Q: What is the factor determined by the ratio 1:3?

A: The factor determined by the ratio 1:3 is 1/3.

Q: How do I find the factor determined by a given ratio?

A: To find the factor determined by a given ratio, you need to divide the second term by the first term.

Q: What are the real-world applications of decreasing in ratios?

A: Decreasing a number in a given ratio has many real-world applications, including finance and engineering.

Q: Can I use the same method to increase a number in a given ratio?

A: Yes, you can use the same method to increase a number in a given ratio. However, you need to multiply the original number by the reciprocal of the factor determined by the ratio.

Q: What is the reciprocal of the factor 1/3?

A: The reciprocal of the factor 1/3 is 3/1.

Q: How do I calculate the increased value of a number in a given ratio?

A: To calculate the increased value of a number in a given ratio, you need to multiply the original number by the reciprocal of the factor determined by the ratio.

Q: Can I use the same method to find the increased value of a number in a given ratio?

A: Yes, you can use the same method to find the increased value of a number in a given ratio. However, you need to multiply the original number by the reciprocal of the factor determined by the ratio.

Real-World Applications of Decreasing in Ratios

Conclusion

Frequently Asked Questions

Q: What is the decreased value of 72 in the ratio 1:3?

A: The decreased value of 72 in the ratio 1:3 is 24.

Q: How do I calculate the decreased value of a number in a given ratio?

A: To calculate the decreased value of a number in a given ratio, you need to multiply the original number by the factor determined by the ratio.

Q: What are the real-world applications of decreasing in ratios?

A: Decreasing a number in a given ratio has many real-world applications, including finance and engineering.

References

Math Open Reference: A website that provides interactive math lessons and games.
Purplemath: A website that provides free online math lessons and tutorials.

Glossary

Ratio: A way of comparing two or more numbers by division.
Proportion: A statement that two ratios are equal.
Factor: A number that divides another number exactly without leaving a remainder.