1/15 as a Decimal

Answer

1/15 in decimals can be written as 0.06666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/15 in decimal, we will use the division method. Here, as 1 is smaller than 15, we will use the decimal method, which will give us 0.0666.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 1 is smaller than 15, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 15. Since 10 is less than 15, we add another 0 making it 100.

Step 4: 100 divided by 15 gives 6 with a remainder of 10. Therefore, we write 6 in the quotient place.

Step 5: Bring down another 0 in the dividend place to make it 100 and 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 1/15 as a decimal will be 0.0666……

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.

Recurring Decimal: A decimal fraction that repeats indefinitely.

Dividend: The number that is being divided in a division operation. Divisor: The number by which the dividend is divided.