11/14 as a Decimal

Answer

11/14 in decimals can be written as 0.7857142857… It is a repeating decimal, showing that it will repeat the sequence of digits infinitely.

Explanation

To get 11/14 in decimal, we will use the division method. Here as 11 is smaller than 14, we will take the help of the decimal method which will give us the repeating sequence. 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 (14) will be taken as the divisor.

Step 2: As 11 is smaller than 14, it can't be divided directly, so 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 14. Let's see how many times 14 makes 110.

Step 4: 110 is not a multiple of 14, so we will look for the nearest number that is 14 × 7 = 98. We will write 7 in the quotient place and subtract 98 from 110 to get 12.

Step 5: Bring down another 0 in the dividend place to make 12 as 120 and then repeat the division process. The division process continues, and we don't get the remainder as 0, this process is called a repeating decimal.

The answer for 11/14 as a decimal will be 0.7857142857…

• 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.

• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.