11/15 as a Decimal

Answer

11/15 in decimals can be written as 0.7333…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 11/15 in decimal, we will use the division method. Here, as 11 is smaller than 15, we will take the help of the decimal method which will give us 0.7333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 11 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 11 as 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 15. Let's see how many times 15 makes 110.

Step 4: 110 is not a multiple of 15, so we will look for the nearest number. 15 × 7 = 105. We will write 7 in the quotient place and subtract 105 from 110, which gives 5.

Step 5: Bring down another 0 in the dividend place to make 5 as 50 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 11/15 as a decimal will be 0.7333….

• 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 that repeats the same digit or group of digits infinitely.