What decimal is equivalent to 1 5/8
The Correct Answer and Explanation is :
To convert the mixed number (1 \frac{5}{8}) into a decimal, follow these steps:
- Separate the Whole Number and the Fraction: The mixed number consists of a whole number part, which is (1), and a fractional part, which is (\frac{5}{8}).
- Convert the Fraction to Decimal: To convert the fraction (\frac{5}{8}) to a decimal, divide the numerator (5) by the denominator (8): [
5 \div 8 = 0.625
] - Combine the Whole Number and Decimal: Now, add the whole number part to the decimal part: [
1 + 0.625 = 1.625
]
Thus, the decimal equivalent of (1 \frac{5}{8}) is (1.625).
Explanation
Understanding how to convert mixed numbers to decimals is essential in various mathematical contexts, such as measurements, financial calculations, and more. A mixed number combines a whole number and a fraction, which can make it slightly complex for calculations. However, converting it to a decimal can simplify operations like addition, subtraction, multiplication, or division.
In this specific case, we first identify the whole number and the fractional part. The whole number represents a complete quantity, while the fraction represents a part of a whole. To work effectively with fractions, converting them to decimals can provide a more straightforward approach to calculations, especially when working with multiple types of numbers.
Dividing the numerator by the denominator allows us to express the fraction in decimal form. Here, the fraction (\frac{5}{8}) signifies that we are looking for how many 8s fit into 5, which results in (0.625). By combining this decimal with the whole number, we obtain a complete decimal representation of the original mixed number.
This conversion process is valuable in various fields, such as engineering and finance, where precise measurements and calculations are crucial. Understanding and applying this method will enhance numerical fluency and help tackle more complex mathematical problems with ease.