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128 LearnersLast updated on March 3rd, 2025
17/18 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 17, which represents how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole; here it is 18. 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 17/18 as a decimal?
Answer
17/18 in decimals can be written as approximately 0.9444... It is a recurring decimal, indicating that it will repeat the digits infinitely.
Explanation
To convert 17/18 into a decimal, we will use the division method. Let's break down the process step by step:
Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (18) as the divisor.
Step 2: Perform the division of 17 by 18. Since 17 is smaller than 18, we use the decimal method by adding a decimal point and zero to the dividend, making it 170.
Step 3: Now that it is 170, divide it by 18. Determine how many times 18 can fit into 170.
Step 4: 18 fits into 170 a total of 9 times (18 × 9 = 162). Write 9 in the quotient place and subtract 162 from 170, giving a remainder of 8.
Step 5: Bring down another 0, making it 80, and repeat the division process. 18 goes into 80 four times (18 × 4 = 72), leaving a remainder of 8 again.
Step 6: Repeat the process by bringing down another 0. This cycle continues, and we see that the remainder does not become 0, resulting in a recurring decimal.
Therefore, the decimal representation of 17/18 is approximately 0.9444...
Important Glossaries for 17/18 as a decimal
- Fraction: A numerical representation of a part of a whole, expressed with a numerator and a denominator.
- 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 the number of parts being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up the whole.
- Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
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