What is 14 7/8 as a decimal?
The correct answer and explanation is:
To convert 14 7/8 into a decimal, first break it into two parts: the whole number (14) and the fraction (7/8).
Step 1: Convert the fraction to a decimal
To convert the fraction 7/8 into a decimal, divide the numerator (7) by the denominator (8):
7 ÷ 8 = 0.875
Step 2: Add the decimal to the whole number
Now, add this decimal (0.875) to the whole number (14):
14 + 0.875 = 14.875
Final Answer:
The decimal form of 14 7/8 is 14.875.
Explanation:
This method of converting mixed numbers to decimals is commonly used. The whole number part remains unchanged, while the fractional part is converted by performing division. By separating the whole number and fraction, you can handle each part individually, ensuring that the conversion is accurate. This process can be applied to any mixed number, and it is particularly useful for mathematical operations where decimals are required rather than fractions.
Dividing 7 by 8 gives the decimal equivalent of the fraction, and adding this value to the whole number provides the final result. This approach works because a fraction represents a part of a whole, and when you divide the numerator by the denominator, you get the exact decimal representation of that part. Understanding this concept is essential for working with mixed numbers and decimals in various math applications, such as measurements, currency conversions, and scientific calculations.