22/7 as a Decimal

Answer

22/7 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 get 22/7 in decimal, we will use the division method. As 22 is greater than 7, we can directly divide using long division which will give us 3.142857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (22) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 22 by 7. The whole number part is 3, since 7 × 3 = 21.

Step 3: Subtract 21 from 22, giving a remainder of 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 7, which goes 1 time (7 × 1 = 7). Subtract 7 from 10, remainder 3.

Step 5: Bring down another 0 to make it 30. Divide 30 by 7, which goes 4 times (7 × 4 = 28). Subtract 28 from 30, remainder 2.

Step 6: Continue this process. The sequence 142857 repeats infinitely, which is called a recurring decimal.

The answer for 22/7 as a decimal is 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.