9 2/3 as a Decimal

Answer

9 2/3 as a decimal can be written as 9.66666... It is a recurring decimal, meaning it will repeat the same digit indefinitely.

Explanation

To convert 9 2/3 to a decimal, we need to convert the fraction 2/3 to a decimal and then add it to the whole number 9. Here's how to do it step by step:

Step 1: Identify the fraction part 2/3.

Step 2: Use division to convert 2/3 to a decimal. Since 2 is smaller than 3, we use the division method: 2 divided by 3 gives us 0.6666...

Step 3: Since 0.6666... is a recurring decimal, it means the digit '6' repeats indefinitely.

Step 4: Add the decimal 0.6666... to the whole number 9 to get 9.6666...

Thus, 9 2/3 as a decimal is 9.6666...

• Mixed Number: A number consisting of an integer and a proper fraction.

• Fraction: A numerical quantity that represents a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Conversion: The process of changing something into a different form or system, such as converting a fraction into a decimal.