12/7 as a Decimal

Answer

12/7 in decimals can be written as 1.7142857... It is a repeating decimal, showing that it will repeat the same sequence of digits infinitely.

Explanation

To convert 12/7 into a decimal, we will use the division method. Here, as 12 is larger than 7, we can directly perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 12 by 7. The whole number part of the division is 1, and we write it in the quotient place.

Step 3: Subtract 7 (7 × 1) from 12, which gives a remainder of 5.

Step 4: Bring down a 0, making it 50. Divide 50 by 7, which gives 7 (7 × 7 = 49) in the quotient place, and subtracting gives 1.

Step 5: Bring down another 0, making it 10. Divide 10 by 7, which gives 1 in the quotient place, and subtracting gives 3.

Step 6: Continue the process, bringing down zeros and performing the division. The sequence 714285 repeats indefinitely, indicating a repeating decimal.

The answer for 12/7 as a decimal is 1.7142857...

• 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.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.