3 1/7 as a Decimal

Answer

3 1/7 in decimals can be written as 3.142857... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 3 1/7 to a decimal, we will first convert the fractional part, 1/7, to a decimal using the division method. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 7, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 7. Let's see how many times 7 makes 10.

Step 4: 10 is not a multiple of 7, so we will look for the nearest number, which is 7 × 1 = 7. We will write 1 in the quotient place and subtract 7 from 10, which gives 3.

Step 5: Bring down another 0 in the dividend place to make it 30 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Therefore, the answer for 3 1/7 as a decimal will be 3.142857...

• 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.