6/9 as a Decimal

Answer

6/9 in decimals can be written as 0.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 6/9 in decimal, we will use the division method. Here as 6 is smaller than 9, we will take help of the decimal method, which will give us 0.6666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend, and the denominator (9) will be the divisor.

Step 2: As 6 is smaller than 9, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making 6 as 60, and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 9. Let's see how many times 9 fits into 60.

Step 4: 60 is not a multiple of 9, so we will look for the nearest number that is 9 × 6 = 54. We will write 6 in the quotient place and subtract 54 from 60, which gives 6.

Step 5: Bring down another 0 in the dividend place and make 6 as 60, 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 6/9 as a decimal will be 0.6666……

• 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 sequence of digits repeats infinitely.