31/60 as a Decimal

Answer

31/60 in decimals can be written as 0.5166. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To get 31/60 in decimal, we will use the division method. Here, 31 is smaller than 60, so we will directly proceed with the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 31 is smaller than 60, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 310, and add a decimal point in the quotient place.

Step 3: Now that it is 310, we can divide it by 60. Let's see how many times 60 fits into 310.

Step 4: 60 goes into 310 five times, as 60 × 5 = 300. Write 5 in the quotient place and subtract 300 from 310 to get 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and repeat the division process. 60 goes into 100 once, as 60 × 1 = 60. Subtract 60 from 100 to get 40.

Step 6: Bring down another 0 to make it 400, and repeat the division process. 60 goes into 400 six times, as 60 × 6 = 360. Subtract 360 from 400 to get 40.

Step 7: The remainder 40 with no more digits to bring down indicates that the decimal is terminating.

The answer for 31/60 as a decimal will be 0.5166.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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 after a finite number of digits.