Calculating Reduced Rainfall

Oct 13, 2025 by talynt.org 38 views

Introduction

Phoenix, known for its arid desert climate, typically experiences a moderate amount of rainfall each year. However, in a particular year, the city received significantly less rain than usual. In this article, we will explore the concept of reduced rainfall and calculate the actual amount of rain Phoenix received that year.

Calculating Reduced Rainfall

To determine the amount of rain Phoenix received in the year with reduced rainfall, we need to calculate $25\%$ less than the usual annual rainfall. The usual annual rainfall in Phoenix is $8 \frac{1}{4}$ inches.

Converting Mixed Numbers to Decimal Form

Before we can calculate the reduced rainfall, we need to convert the mixed number $8 \frac{1}{4}$ to decimal form. To do this, we will multiply the whole number part by the denominator and then add the numerator.

8 \frac{1}{4} = 8 + \frac{1}{4} = 8 + 0.25 = 8.25

Calculating Reduced Rainfall

Now that we have the usual annual rainfall in decimal form, we can calculate $25\%$ less rain. To do this, we will multiply the usual rainfall by $0.25$ and then subtract the result from the usual rainfall.

\text{Reduced rainfall} = 8.25 - (8.25 \times 0.25)

Performing the Calculation

Now, let's perform the calculation to determine the reduced rainfall.

\text{Reduced rainfall} = 8.25 - (8.25 \times 0.25)

\text{Reduced rainfall} = 8.25 - 2.0625

\text{Reduced rainfall} = 6.1875

Converting Decimal Form to Mixed Number

Now that we have the reduced rainfall in decimal form, we can convert it to a mixed number. To do this, we will divide the decimal part by the denominator and then add the result to the whole number part.

6.1875 = 6 + \frac{0.1875}{1}

\frac{0.1875}{1} = \frac{3}{16}

Therefore, the reduced rainfall in Phoenix that year is $6 \frac{3}{16}$ inches.

Conclusion

In this article, we explored the concept of reduced rainfall and calculated the actual amount of rain Phoenix received in a year with significantly less rain than usual. By converting the mixed number to decimal form and then performing the calculation, we determined that Phoenix received $6 \frac{3}{16}$ inches of rain that year.

Answer

The correct answer is:

$6 \frac{3}{16}$ inches

Q: What is the usual annual rainfall in Phoenix?

A: The usual annual rainfall in Phoenix is $8 \frac{1}{4}$ inches.

Q: How much less rain did Phoenix receive in the year with reduced rainfall?

A: Phoenix received $25\%$ less rain than usual in the year with reduced rainfall.

Q: How do I convert a mixed number to decimal form?

A: To convert a mixed number to decimal form, you need to multiply the whole number part by the denominator and then add the numerator. For example, to convert $8 \frac{1}{4}$ to decimal form, you would multiply 8 by 4 and then add 1, resulting in 8.25.

Q: How do I calculate $25\%$ less rain?

A: To calculate $25\%$ less rain, you need to multiply the usual rainfall by 0.25 and then subtract the result from the usual rainfall. For example, to calculate $25\%$ less rain than the usual annual rainfall in Phoenix, you would multiply 8.25 by 0.25 and then subtract the result from 8.25.

Q: What is the reduced rainfall in Phoenix that year?

A: The reduced rainfall in Phoenix that year is $6 \frac{3}{16}$ inches.

Q: How do I convert a decimal number to a mixed number?

A: To convert a decimal number to a mixed number, you need to divide the decimal part by the denominator and then add the result to the whole number part. For example, to convert 6.1875 to a mixed number, you would divide 0.1875 by 1 and then add the result to 6, resulting in $6 \frac{3}{16}$ .

Q: What is the correct answer to the problem?

A: The correct answer to the problem is $6 \frac{3}{16}$ inches.

Q: Why is it important to understand reduced rainfall in Phoenix?

A: Understanding reduced rainfall in Phoenix is important because it can have a significant impact on the city's water supply and infrastructure. By understanding the concept of reduced rainfall, we can better prepare for and respond to droughts and other water-related issues.

Q: Can you provide more examples of reduced rainfall calculations?

A: Yes, here are a few more examples of reduced rainfall calculations:

If the usual annual rainfall in a city is 10 inches and the city receives $20\%$ less rain than usual, the reduced rainfall would be 8 inches.
If the usual annual rainfall in a city is 12 inches and the city receives $30\%$ less rain than usual, the reduced rainfall would be 8.4 inches.

These examples demonstrate how to calculate reduced rainfall in different scenarios.