12/7 as a decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 12, which represents how many parts out of the whole, and the denominator (number below), here 7, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 12/7 as a decimal?

$12/7 as a decimal$

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...