95 7/40 as a Decimal

Answer

95 7/40 in decimals can be written as 95.175. It is a terminating decimal, meaning the decimal representation ends after a finite number of digits.

Explanation

To convert 95 7/40 into decimal, we will use the division method for the fractional part and then add it to the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (95) and the fractional part (7/40).

Step 2: Convert the fraction 7/40 into a decimal by dividing the numerator (7) by the denominator (40).

Step 3: Perform the division 7 ÷ 40. Since 7 is smaller than 40, we add a decimal point and zeros to 7 to perform the division.

Step 4: 7.000 ÷ 40 gives 0.175.

Step 5: Combine the whole number part 95 with the decimal obtained from the fraction.

The answer for 95 7/40 as a decimal will be 95.175.

• 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.