31/9 as a Decimal

Answer

31/9 in decimals can be written as 3.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 31/9 in decimal, we will use the division method. Here 31 is larger than 9, so we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 31 by 9. 9 goes into 31 three times (3 × 9 = 27). Subtract 27 from 31, which gives 4. Step 3: Bring down a 0 and make 4 as 40, then divide by 9.

Step 4: 40 is not a multiple of 9, so we look for the nearest number that is 9 × 4 = 36. We will write 4 in the quotient place and subtract 36 from 40, which gives 4.

Step 5: Bring down another 0 in the dividend place and make 4 as 40 and then repeat the division process. The division process continues, as we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 31/9 as a decimal will be 3.4444……

• 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.