10 1/8 as a Decimal: A Simplified Explanation
When working with mixed numbers, it's essential to understand how to convert them to decimals. In this article, we'll explore how to convert 10 1/8 to a decimal and provide a step-by-step guide to make the process easier.
What is 10 1/8?
10 1/8 is a mixed number that consists of a whole number part (10) and a fractional part (1/8). To convert this mixed number to a decimal, we need to focus on the fractional part (1/8) and convert it to a decimal.
Converting 1/8 to a Decimal
To convert 1/8 to a decimal, we can divide the numerator (1) by the denominator (8):
1 ÷ 8 = 0.125
So, 1/8 is equal to 0.125.
Converting 10 1/8 to a Decimal
Now that we have converted the fractional part to a decimal, we can combine it with the whole number part to get the final decimal equivalent:
10 + 0.125 = 10.125
Therefore, 10 1/8 as a decimal is equal to 10.125.
Why Is It Important to Convert Mixed Numbers to Decimals?
Converting mixed numbers to decimals is crucial in various mathematical operations, such as:
- Comparison: Decimals make it easier to compare values, especially when working with fractions.
- Addition and Subtraction: Decimals simplify the process of adding and subtracting mixed numbers.
- Real-World Applications: Decimals are used in finance, science, and engineering to represent precise values.
Conclusion
In conclusion, converting 10 1/8 to a decimal is a straightforward process that involves dividing the numerator by the denominator. By following the steps outlined in this article, you can easily convert mixed numbers to decimals and simplify your mathematical calculations.
