25/9 as a Decimal

Answer

25/9 in decimals can be written as 2.7777….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 25/9 in decimal, we will use the division method. Here, since 25 is larger than 9, we will perform direct division which will give us 2.7777. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 25 by 9. The nearest multiple of 9 less than 25 is 9 × 2 = 18.

Step 3: Subtract 18 from 25, which gives a remainder of 7.

Step 4: Bring down a 0 to make it 70, and divide by 9 again. The nearest multiple is 9 × 7 = 63.

Step 5: Subtract 63 from 70, which gives a remainder of 7.

Step 6: Bring down another 0 to make it 70 again, and 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 25/9 as a decimal will be 2.7777……

• 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.