18/7 as a Decimal

Answer

18/7 in decimals can be written as approximately 2.571428. It is a recurring decimal, indicating that it will repeat the same sequence of digits infinitely.

Explanation

To get 18/7 in decimal form, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (18) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Since 18 is larger than 7, we can divide directly to get the whole number part of the result. 7 goes into 18 two times, giving us 2 as the whole number part.

Step 3: Subtract 14 (7 × 2) from 18, which leaves a remainder of 4.

Step 4: Bring down a 0 to make it 40. Now, divide 40 by 7.

Step 5: 7 goes into 40 five times (7 × 5 = 35), leaving a remainder of 5.

Step 6: Bring down another 0 to make it 50. 7 goes into 50 seven times (7 × 7 = 49), leaving a remainder of 1.

Step 7: Continue this process, and you will get a repeating sequence: 2.571428571428, where 571428 repeats infinitely.

• 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.