2/15 as a Decimal

Answer

2/15 in decimals can be written as 0.13333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 2/15 in decimal, we will use the division method. Here as 2 is smaller than 15 we will take help of decimal method which will give us 0.1333. Let's see the step by step breakdown of the process

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 2 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 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20 we can divide it by 15. Let's see how many times 15 fits into 20.

Step 4: 20 is not a multiple of 15, so we will look for the nearest number that is 15 × 1 = 15. We will write 1 in the quotient place and subtract 15 from 20, which gives 5.

Step 5: Bring down another 0 in the dividend place to make 5 as 50 and then repeat the division process.

Step 6: 15 fits into 50 three times, so we write 3 in the quotient place. Subtract 45 (15 × 3) from 50 to get 5.

Step 7: The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2/15 as a decimal will be 0.1333……

• 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 a digit or group of digits repeats infinitely.