29/30 as a Decimal

Answer

29/30 in decimals can be written as 0.9666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 29/30 into a decimal, we use the division method. As 29 is smaller than 30, we will use the decimal method to get 0.9666. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (29) will be taken as the dividend and the denominator (30) as the divisor.

Step 2: As 29 is smaller than 30, it can't be divided directly, so we use decimals. Add a decimal point in the quotient and append a 0 to the dividend, making it 290.

Step 3: Now divide 290 by 30. Determine how many times 30 fits into 290.

Step 4: 290 divided by 30 is 9, with a remainder of 20. Write 9 in the quotient.

Step 5: Bring down another 0, making it 200. Divide 200 by 30, which fits 6 times (30 × 6 = 180), leaving a remainder of 20. Write 6 in the quotient.

Step 6: The remainder repeats, so the process continues indefinitely. This process results in a recurring decimal.

The answer for 29/30 as a decimal is 0.9666…

• 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 with a digit or group of digits that repeat infinitely.