Converting Mixed Numbers to Decimals: 10 5/9 Explained

To convert the mixed number 10 5/9 into a decimal, follow these steps:

1. Understand the Mixed Number: The mixed number consists of two parts: the whole number (10) and the fraction (5/9).
2. Convert the Fraction to Decimal: First, we need to convert the fraction (5/9) into a decimal. To do this, divide 5 by 9:
• 5 ÷ 9 = 0.5555... (the 5s continue indefinitely)
3. Add the Whole Number: Now that we have the decimal for the fraction, we can add this to the whole number:
• 10 + 0.5555… = 10.5555…
4. Write the Final Answer: Therefore, the decimal form of the mixed number 10 5/9 is:
• 10.5555…, which can also be rounded as needed (for example, 10.56 if rounding to two decimal places).

In conclusion, 10 5/9 as a decimal is approximately 10.5555….