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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 29, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.
29/12 in decimals can be written as 2.41666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 29/12 in decimal, we will use the division method. Let's see 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 (12) will be taken as the divisor.
Step 2: Divide 29 by 12. The closest whole number is 2, since 2 × 12 = 24. Subtract 24 from 29, which gives 5.
Step 3: Bring down a 0, making it 50. Now divide 50 by 12. The closest whole number is 4, since 4 × 12 = 48. Subtract 48 from 50, which gives 2.
Step 4: Bring down another 0, making it 20. Divide 20 by 12. The closest whole number is 1, since 1 × 12 = 12. Subtract 12 from 20, which gives 8.
Step 5: Bring down another 0, making it 80. Divide 80 by 12. The closest whole number is 6, since 6 × 12 = 72. Subtract 72 from 80, which gives 8. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 29/12 as a decimal will be 2.41666……