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.

• 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.