5/12 as a Decimal

Answer

5/12 in decimals can be written as approximately 0.41666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 5/12 in decimal, we will use the division method. Here, since 5 is smaller than 12, we will use the decimal method, which will give us approximately 0.4166. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (12) will be the divisor.

Step 2: As 5 is smaller than 12, it can't be divided; here, we will use decimals. We will add 0 to the dividend, making 5 as 50 and adding a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 12. Let's see how many times 12 fits into 50.

Step 4: 50 is not a multiple of 12, so we will look for the nearest number that is 12 × 4 = 48. We will write 4 in the quotient place and subtract 48 from 50, which gives us 2. 

Step 5: Bring down another 0 in the dividend place, making 2 as 20, and then repeat the division process. The division process continues; we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 5/12 as a decimal will be approximately 0.4166...

• 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.

• Recurring Decimal: A decimal number in which a digit or a group of digits repeats infinitely.