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111 LearnersLast updated on March 27th, 2025
9 2/3 as a Decimal
This is a simple question about decimal conversion. To convert a mixed number to a decimal, we first need to understand fractions and decimals. A fraction represents a part of a whole and consists of two parts: the numerator (the number on the top), which indicates how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 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...
Important Glossaries for 9 2/3 as a decimal
- 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.
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