-11/40 as a Decimal

Answer

-11/40 in decimal can be written as -0.275. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get -11/40 in decimal, we will use the division method. Here as -11 is smaller than 40, we will perform long division to get the decimal value. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-11) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: Divide -11 by 40. Since -11 is smaller than 40, we will start with 0.

Step 3: Add a decimal point in the quotient and bring down zeros to continue the division.

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

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

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

The division process ends as we reach a remainder of 0, so -11/40 as a decimal is -0.275.

• 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.