11/40 as a Decimal

Answer

11/40 as a decimal is written as 0.275. It is a terminating decimal, meaning the digits do not repeat infinitely.

Explanation

To convert 11/40 into a decimal, we use the division method.

Let's break down the process step by step:

Step 1: Identify the numerator and denominator. Here, the numerator (11) is the dividend, and the denominator (40) is the divisor.

Step 2: Divide 11 by 40. Since 11 is smaller than 40, the division gives us a result less than 1, so we place a 0 in the whole number part of the quotient.

Step 3: Add a decimal point and a 0 to the dividend, making it 110.

Step 4: Divide 110 by 40, which goes 2 times (40 × 2 = 80). Subtract 80 from 110 to get 30.

Step 5: Bring down another 0 to make it 300. Divide 300 by 40, which goes 7 times (40 × 7 = 280). Subtract 280 from 300 to get 20.

Step 6: Bring down another 0 to make it 200. Divide 200 by 40, which goes 5 times (40 × 5 = 200). Subtract 200 from 200 to get 0, completing the division.

The decimal representation of 11/40 is 0.275, a terminating decimal.

• Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number expressed in the base 10 system, using a decimal point to separate the whole number from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are considered.
   
• Denominator: The bottom part of a fraction, representing how many equal parts the whole is divided into.
   
• Terminating Decimal: A decimal that has a finite number of digits after the decimal point and does not repeat.