31/40 as a Decimal

Answer

31/40 in decimal form can be written as 0.775. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 31/40 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (40) will be taken as the divisor.

Step 2: Perform the division 31 ÷ 40. Since 31 is smaller than 40, we will place a decimal point in the quotient and add a zero to make it 310.

Step 3: Divide 310 by 40. See how many times 40 fits into 310.

Step 4: 40 fits into 310 seven times (40 × 7 = 280). Write 7 in the quotient place. Subtract 280 from 310 to get 30.

Step 5: Bring down another zero, making it 300. Divide 300 by 40. 40 fits into 300 seven times (40 × 7 = 280). Write another 7 in the quotient place. Subtract 280 from 300 to get 20.

Step 6: Bring down another zero, making it 200. Divide 200 by 40. 40 fits into 200 exactly five times (40 × 5 = 200). Write 5 in the quotient place. Subtract 200 from 200 to get 0.

The answer for 31/40 as a decimal is 0.775.

• Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number that 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.