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104 LearnersLast updated on March 13th, 2025
20/30 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part 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. Here, the fraction is 20/30. A decimal is a way to represent the number that is not whole, using a (.) or decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, while those to the right represent the fractional part.
What is 20/30 as a decimal?
Answer
20/30 in decimal form can be simplified first to 2/3, which is written as 0.6666666667. It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To convert 20/30 to a decimal, we will first simplify the fraction to 2/3. Then, we use the division method to get a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Simplify the fraction 20/30 to 2/3 by dividing both the numerator and the denominator by their greatest common divisor, which is 10.
Step 2: Identify the numerator and denominator for 2/3. The numerator (2) will be taken as the dividend, and the denominator (3) will be the divisor.
Step 3: As 2 is smaller than 3, we need to use decimals. We add a decimal point in the quotient and a zero to the dividend, making it 20.
Step 4: Divide 20 by 3. The closest multiple is 3 × 6 = 18. Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.
Step 5: Bring down another 0, making it 20 again, and continue the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.
The answer for 20/30 as a decimal will be 0.6666666667.
Important Glossaries for 20/30 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 that repeats a digit or group of digits infinitely.
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