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110 LearnersLast updated on March 11th, 2025
17/30 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, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 30. A decimal is a way to represent a number that is 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 17/30 as a decimal?
Answer
17/30 in decimals can be written as 0.56666... It is a recurring decimal, meaning it will repeat the same digit infinitely.
Explanation
To convert 17/30 to a decimal, we will use the division method. Here, as 17 is smaller than 30, we will take the help of the decimal method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (30) will be taken as the divisor.
Step 2: Since 17 is smaller than 30, it can't be divided directly; thus, we will use decimals. We will add 0 to the dividend, making it 170, and add a decimal point in the quotient place.
Step 3: Now that it is 170, we can divide it by 30. Let's see how many times 30 fits into 170.
Step 4: 30 goes into 170 five times (30 × 5 = 150). We will write 5 in the quotient place and subtract 150 from 170, leaving us with 20.
Step 5: Bring down another 0 in the dividend place, making it 200, and then repeat the division process. 30 goes into 200 six times (30 × 6 = 180).
Step 6: Subtract 180 from 200, leaving 20. Bring down another 0, making it 200 again, and continue the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 17/30 as a decimal is 0.5666...
Important Glossaries for 17/30 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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