4/7 as a Decimal

Answer

4/7 in decimals can be written as approximately 0.571428. It is a repeating decimal, showing that the digits will repeat in a pattern infinitely.

Explanation

To get 4/7 in decimal, we will use the division method. Since 4 is smaller than 7, we will use the decimal method, which will give us 0.571428. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: As 4 is smaller than 7, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 7. Let's see how many times 7 makes 40.

Step 4: 40 is not a multiple of 7, so we will look for the nearest number that is 7 × 5 = 35. We will write 5 in the quotient place and subtract 35 from 40 to get 5.

Step 5: Bring down another 0 in the dividend place, making 5 as 50, and then repeat the division process. The division process continues, and we get a repeating cycle, which is called a repeating decimal.

The answer for 4/7 as a decimal will be 0.571428... with the sequence "571428" repeating indefinitely.

• 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 sequence of digits repeats indefinitely.