10/12 as a Decimal

Answer

10/12 in decimals can be simplified to 0.8333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 10/12 in decimal, we will use the division method. Here as 10 is smaller than 12, we will take the help of the decimal method which will give us 0.8333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: As 10 is smaller than 12, it can't be divided; here we will take the help of decimals. We will add 0 to the dividend, which will make 10 into 100 and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 12. Let's see how many times 12 fits into 100.

Step 4: 100 is not a perfect multiple of 12, so we will look for the nearest number that is 12 × 8 = 96. We will write 8 in the quotient place and subtract 96 from 100, which gives 4.

Step 5: Bring down another 0 in the dividend place to make 4 into 40 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 10/12 as a decimal will be 0.8333……

• 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 in which one or more digits repeat infinitely.