7/22 as a Decimal

Answer

7/22 in decimals can be written as approximately 0.3181818… It is a recurring decimal, indicating that the sequence of digits repeats indefinitely.

Explanation

To get 7/22 in decimal, we will use the division method. Here, as 7 is smaller than 22, we will take the help of the decimal method, which will give us 0.3181818. Let's see the step-by-step breakdown of the process:

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

Step 2: As 7 is smaller than 22, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 7 as 70 and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 22. Let's see how many times 22 goes into 70.

Step 4: 22 goes into 70 three times, since 22 × 3 = 66. We will write 3 in the quotient place and subtract 66 from 70, which gives 4.

Step 5: Bring down another 0 in the dividend place to make it 40, and then repeat the division process.

Step 6: 22 goes into 40 once, since 22 × 1 = 22. Subtracting gives 18. Bring down another 0 to make it 180.

Step 7: Continue the division process, resulting in the recurring sequence of digits 3181818..., which is the recurring decimal.

The answer for 7/22 as a decimal will be approximately 0.3181818…

• 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.