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Decimal Equivalent of Mixed Numbers: Unlocking 3.12

Introduction

Mixed numbers, such as 3 1/2, are a common way to represent fractions in everyday life. However, for various mathematical operations, it is often necessary to convert mixed numbers into their decimal equivalents. This article will provide a comprehensive guide to understanding 3.12 as a decimal, covering its conversion process, applications, and practical examples.

Converting 3 1/2 to a Decimal: Step-by-Step

To convert 3 1/2 to a decimal, follow these steps:

Divide the numerator (1) by the denominator (2): 1 ÷ 2 = 0.5
Add the quotient (0.5) to the whole number (3): 3 + 0.5 = 3.5

Therefore, 3 1/2 as a decimal is 3.5.

3 1 2 as a decimal

Applications of 3.12 in Real-World Scenarios

The decimal equivalent of 3 1/2 finds practical applications in various disciplines, including:

Money: $3.12 represents three dollars and twelve cents.
Temperature: 3.12 degrees Celsius is approximately 37.6 degrees Fahrenheit.
Measurement: 3.12 meters is equivalent to approximately 10.2 feet.

Example Conversions and Stories

Example 1:

A recipe calls for 3 1/2 cups of flour. How many ounces of flour are needed if 1 cup is equal to 4.5 ounces?

Decimal Equivalent of Mixed Numbers: Unlocking 3.12

Introduction

Conversion: 3.5 cups x 4.5 ounces/cup = 15.75 ounces

Lesson: Understanding decimal equivalents allows for accurate conversions between different units of measurement.

Example 2:

A car travels 240 miles on 3 1/2 gallons of gasoline. What is the car's fuel efficiency?

Mixed numbers

Conversion: 3.5 gallons x 240 miles/gallon = 68.6 miles per gallon

Lesson: Decimal equivalents enable efficient calculations of rates and proportions.

Example 3:

A store sells apples for $3.12 per pound. How much will it cost to buy 2.75 pounds of apples?

Conversion: 3.5 x 2.75 pounds = $9.60

Lesson: Decimal equivalents facilitate cost calculations and financial planning.

Tips and Tricks

Memorize the steps for converting mixed numbers to decimals.
Use a calculator to verify your conversions.
Practice converting different mixed numbers to decimals to improve your fluency.

Pros and Cons of Converting Mixed Numbers to Decimals

Pros:

Decimals are more precise than fractions.
They allow for easier calculations and comparisons.
They are the preferred form for scientific and mathematical operations.

Cons:

Conversions can be time-consuming.
Decimals may not always be as intuitive as fractions.
Some fractions cannot be converted to exact decimals without rounding.

Conclusion

Understanding the decimal equivalent of 3 1/2, which is 3.5, is essential for various mathematical and real-world applications. By following the outlined conversion method and applying the tips provided, individuals can efficiently convert mixed numbers to decimals and leverage their advantages in different contexts.