Convert 2 3/8 into a decimal
The Correct Answer and Explanation is:
Answer:
The mixed number 2 3/8 converts to the decimal 2.375.
Explanation:
To convert a mixed number like 2 3/8 into a decimal, we must handle the whole number part (2) and the fractional part (3/8) separately, then combine them.
- Understand the components of the mixed number:
- The mixed number 2 3/8 consists of a whole number (2) and a proper fraction (3/8).
- The decimal equivalent will combine the value of the whole number (2) with the fractional part expressed as a decimal.
- Convert the fraction to a decimal:
- A fraction is converted to a decimal by dividing the numerator (top number) by the denominator (bottom number).
- Here, divide 3 by 8:
[
3 \div 8 = 0.375
]
So, 3/8 equals 0.375 in decimal form.
- Add the whole number to the decimal:
- The whole number part of the mixed number is 2.
- Combine this with the decimal from the fractional part:
[
2 + 0.375 = 2.375
]
- Final answer:
The decimal equivalent of 2 3/8 is 2.375.
Why this is important:
Understanding how to convert fractions to decimals is a foundational math skill applicable in many real-life scenarios, such as measurement, finances, and data analysis. For instance, in nursing, precision is critical when calculating medication dosages. Knowing how to accurately convert fractions ensures that calculations are precise, reducing the risk of errors. Additionally, understanding fractions and decimals helps build confidence in handling percentages and ratios, which are essential in various professional and academic contexts.