45 23/40 as a Decimal

Answer

45 23/40 as a decimal can be written as 45.575. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 45 23/40 in decimal, we will convert the fractional part to a decimal and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, the whole number is 45, and the fraction is 23/40.

Step 2: Convert the fraction 23/40 to a decimal by dividing 23 by 40.

Step 3: Perform the division: 23 ÷ 40 = 0.575.

Step 4: Add the whole number to the decimal: 45 + 0.575 = 45.575.

Step 5: The result is a terminating 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.