3/7 as a Decimal

Answer

3/7 in decimals can be written as approximately 0.428571. It is a recurring decimal, showing it will repeat the sequence of digits infinitely.

Explanation

To get 3/7 in decimal, we will use the division method. Here, as 3 is smaller than 7, we will take the help of the decimal method, which will give us 0.428571. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: As 3 is smaller than 7, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 3 as 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 7. Let's see how many times 7 makes 30.

Step 4: 30 is not a multiple of 7, so we will look for the nearest number that is 7 × 4 = 28. We will write 4 in the quotient place and subtract 28 from 30, which gives 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. The division process continues, and we do not get the remainder as 0; this process is called a recurring decimal.

The answer for 3/7 as a decimal will be approximately 0.428571……

• 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.