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120 LearnersLast updated on March 3rd, 2025
123/500 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 123, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 500. 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 123/500 as a decimal?
Answer
123/500 in decimals can be written as 0.246. It is a terminating decimal.
Explanation
To convert 123/500 to a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (123) will be taken as the dividend and the denominator (500) will be taken as the divisor.
Step 2: Divide 123 by 500 using long division.
Step 3: Since 123 is smaller than 500, we place a decimal point in the quotient and add a zero to make it 1230.
Step 4: Divide 1230 by 500, which goes 2 times (500 × 2 = 1000). Write 2 in the quotient and subtract 1000 from 1230 to get 230.
Step 5: Bring down another 0 to make it 2300. Divide 2300 by 500, which goes 4 times (500 × 4 = 2000). Write 4 in the quotient and subtract 2000 from 2300 to get 300.
Step 6: Bring down another 0 to make it 3000. Divide 3000 by 500, which goes 6 times (500 × 6 = 3000). Write 6 in the quotient and subtract 3000 from 3000 to get 0. The division process ends here with no remainder.
Therefore, 123/500 as a decimal is 0.246.
Important Glossaries for 123/500 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.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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