1 2/9 as a Decimal

Answer

1 2/9 in decimals can be written as 1.2222….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 1 2/9 into a decimal, we will use the division method for the fractional part. Here, 2 is smaller than 9, so we will take the help of the decimal method, which will give us 0.2222. 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 (9) will be taken as the divisor.

Step 2: As 2 is smaller than 9, 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 9. Let's see how many times 9 makes 20.

Step 4: 20 is not a multiple of 9, so we will look for the nearest number; that is 9 × 2 = 18. We will write 2 in the quotient place and subtract 18 from 20, which gives 2.

Step 5: Bring down another 0 in the dividend place to make 2 as 20, 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.

Therefore, 2/9 as a decimal will be 0.2222……, and the whole number part 1 gives us 1.2222…… as the final answer.

• 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 one or more digits repeat infinitely.