Which of the following is equivalent to 60 1 2? This question delves into the fascinating realm of numerical equivalency, where we explore the mathematical operations and real-world applications of converting mixed numbers to decimals. Join us as we unravel the intricacies of this topic, shedding light on its historical context and practical significance.
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1. Numerical Equivalency: Which Of The Following Is Equivalent To 60 1 2
Converting the mixed number 60 1 2 to a decimal value involves the following mathematical operations:
- Convert the fractional part (1 2) to a decimal by dividing the numerator (1) by the denominator (2): 1 รท 2 = 0.5.
- Add the whole number (60) to the decimal value: 60 + 0.5 = 60.5.
Therefore, 60 1 2 is equivalent to 60.5 in decimal form.
2. Mathematical Representation
The mixed number 60 1 2 can be represented in various mathematical notations:
| Notation | Value |
|---|---|
| Mixed number | 60 1 2 |
| Decimal | 60.5 |
| Fraction | 121/2 |
| Percentage | 6050% |
Equivalent fractions of 60 1 2 include 120/2, 240/4, and 480/8.
3. Real-World Applications
Understanding the equivalence of 60 1 2 is essential in various situations:
- In finance, converting mixed numbers to decimals is necessary for calculating interest rates and loan payments.
- In engineering, mixed numbers are used to represent measurements, such as the diameter of a pipe or the length of a beam.
- In measurement, mixed numbers are used to express distances, weights, and volumes.
For example, a carpenter may need to convert 60 1 2 inches into decimal form to determine the exact length of a piece of wood.
4. Historical Context
The concept of mixed numbers has been used by various civilizations throughout history:
- The ancient Egyptians used mixed numbers in their hieroglyphic system of writing.
- The Babylonians developed a sexagesimal system, which used mixed numbers to represent fractions.
- The Greeks and Romans used mixed numbers in their mathematical systems.
The modern notation for mixed numbers, using a whole number and a fraction separated by a space, was developed in the Middle Ages.
FAQ
What is the decimal equivalent of 60 1 2?
60.5
How do you convert a mixed number to a decimal?
Multiply the whole number by the denominator of the fraction, add the numerator, and divide the result by the denominator.
What are some real-world applications of understanding numerical equivalency?
Financial calculations, engineering measurements, and recipe conversions.
