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106 LearnersLast updated on March 17th, 2025
9 11/30 as a Decimal
This is a straightforward question on decimal conversion. To begin, we must understand fractions and decimals. A fraction represents a part of a whole. It has two components: the numerator (the number on the top), which here is 11, indicating how many parts out of the whole, and the denominator (the number below), which here is 30, showing how many parts make up the whole. A decimal is a way to represent a number that is 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, and those to the right represent the fractional part.
What is 9 11/30 as a decimal?
Answer
9 11/30 as a decimal can be written as 9.3666... It is a recurring decimal, indicating that the digit 6 will repeat infinitely.
Explanation
To convert 9 11/30 into a decimal, we will use the division method to convert the fractional part. Let's break down the process step by step.
Step 1: Identify the whole number and the fractional part. The whole number is 9, and the fraction is 11/30.
Step 2: Convert 11/30 into a decimal by dividing the numerator (11) by the denominator (30).
Step 3: Perform the division. 11 divided by 30 gives 0.3666..., a recurring decimal.
Step 4: Combine the whole number with the decimal part. So, 9 plus 0.3666... gives us 9.3666...
This process confirms that 9 11/30 as a decimal is 9.3666..., with the digit 6 repeating indefinitely.
Important Glossaries for 9 11/30 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing 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.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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