21/22 as a Decimal

Answer:

21/22 in decimals can be written as approximately 0.9545. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation:

To get 21/22 in decimal, we will use the division method. Here, as 21 is smaller than 22, we will take help of the decimal method, which will give us approximately 0.9545. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (21) will be taken as the dividend and denominator (22) will be taken as the divisor.

Step 2: As 21 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 21 as 210 and add a decimal point in the quotient place.

Step 3: Now that it is 210, we can divide it by 22. Let's see how many times 22 makes 210.

Step 4: 22 × 9 = 198, so we will write 9 in the quotient place and subtract 198 from 210, which gives 12.

Step 5: Bring down another 0 in the dividend place and make 12 as 120, then repeat the division process.

Step 6: 22 × 5 = 110, we will write 5 in the quotient place and subtract 110 from 120 gives 10.

Step 7: Bring down another 0 and continue the process. 22 × 4 = 88, write 4 in the quotient place, subtract 88 from 100 gives 12.

Step 8: Process continues, but eventually, the remainder becomes 0, so it's a terminating decimal.

The answer for 21/22 as a decimal will be approximately 0.9545.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.