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102 LearnersLast updated on March 17th, 2025
8 15/22 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a '.' or 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 8 15/22 as a decimal?
Answer
8 15/22 in decimal form can be written as approximately 8.6818. It is a non-terminating, repeating decimal.
Explanation
To convert 8 15/22 into a decimal, we first need to convert the fractional part (15/22) into a decimal.
Step 1: Identify the numerator (15) and the denominator (22).
Step 2: Divide 15 by 22 to convert the fraction to a decimal.
Step 3: Performing the division, 15 divided by 22 gives approximately 0.6818 (repeating).
Step 4: Combine this with the whole number part (8) to get the final decimal: 8 + 0.6818 = 8.6818. The decimal representation of 8 15/22 is approximately 8.6818, and it is a repeating decimal because the division of 15 by 22 results in a repeating sequence.
Important Glossaries for 8 15/22 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 system 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.
- Repeating Decimal: A decimal that has a sequence of digits that repeats infinitely after a certain point.
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