25/6 as a Decimal

Answer

25/6 in decimals can be written as 4.1666….. It is a recurring decimal, showing that the digit 6 will repeat infinitely.

Explanation

To convert 25/6 into a decimal, we will use the division method. Since 25 is larger than 6, 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 (25) will be taken as the dividend and the denominator (6) will be the divisor.

Step 2: Divide 25 by 6. We find that 6 goes into 25 four times, which gives 24.

Step 3: Subtract 24 from 25, leaving us with a remainder of 1.

Step 4: Bring down a 0 to make it 10, and place a decimal point in the quotient.

Step 5: Divide 10 by 6, which goes once, giving 6. Subtract 6 from 10, leaving 4.

Step 6: Bring down another 0 to make it 40, and divide by 6, which goes six times, giving 36. Subtract 36 from 40, leaving 4.

Step 7: Since the remainder is not zero, bring down another 0 and repeat the process, which results in 6 again. This process continues, showing a recurring decimal.

The answer for 25/6 as a decimal will be 4.1666……

• Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
   
• 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 fraction in which a figure or group of figures is repeated indefinitely.