2 1/7 as a Decimal

Answer

2 1/7 in decimals can be written as approximately 2.142857. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 2 1/7 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Separate the whole number from the fraction. Here, 2 is the whole number, and 1/7 is the fraction.

Step 2: Identify the numerator and denominator for the fraction because the numerator (1) will be taken as the dividend, and the denominator (7) will be taken as the divisor.

Step 3: As 1 is smaller than 7, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 4: Divide 10 by 7. It goes 1 time; write 1 in the quotient place and subtract 7 from 10, giving 3.

Step 5: Bring down another 0 to make it 30. Divide 30 by 7, which goes 4 times; write 4 in the quotient place and subtract 28 from 30, giving 2.

Step 6: Repeat the process. The division will continue, giving a recurring decimal: 0.142857... Combine this with the whole part:

The answer for 2 1/7 as a decimal is 2.142857...

• 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.