198 LearnersLast updated on May 26th, 2025
23/40 as a Decimal
This is a straightforward question on decimal conversion. First, we should understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 23, representing how many parts of the whole we have. The denominator (the number below) indicates how many parts make up the whole, which in this case is 40. 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 23/40 as a decimal?
Answer
23/40 in decimals can be written as 0.575. It is a terminating decimal.
Explanation
To convert 23/40 into a decimal, we will use the division method. Here is a step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: Divide 23 by 40. Since 23 is smaller than 40, the division will result in a decimal.
Step 3: Perform the division: - 40 goes into 230 five times (40 × 5 = 200). - Subtract 200 from 230 to get 30. - Bring down a zero, making it 300. - 40 goes into 300 seven times (40 × 7 = 280). - Subtract 280 from 300 to get 20. - Bring down a zero, making it 200. - 40 goes into 200 five times (40 × 5 = 200). This process terminates as the remainder is 0.
The answer for 23/40 as a decimal is 0.575.
Important Glossaries for 23/40 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 comes to an end and does not repeat infinitely.
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