1/225 as a Decimal

Answer

1/225 in decimals can be written as 0.004444…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/225 in decimal, we will use the division method. Here, as 1 is smaller than 225, we will take the help of the decimal method, which will give us 0.004444. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (225) will be taken as the divisor.

Step 2: As 1 is smaller than 225, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Continue taking down zeros until you can divide.

Step 4: 1000 divided by 225 gives 4, as 225 × 4 = 900. Subtract 900 from 1000 to get 100.

Step 5: Bring down another 0 making it 1000, and repeat the division process.

Step 6: 1000 divided by 225 again gives 4. Subtract 900 from 1000 to get 100.

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

The answer for 1/225 as a decimal will be 0.004444……

• 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.