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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we learn about fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 29, represents how many parts out of the whole are considered. The denominator (number below), here 30, shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
29/30 in decimals can be written as 0.9666… It is a recurring decimal, indicating it will repeat the same digit infinitely.
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…