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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 29 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
29/60 in decimals can be written as 0.48333… It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 29/60 in decimal, we will use the division method. Here as 29 is smaller than 60, we will take the help of the decimal method, which will give us 0.4833. 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 (60) will be taken as the divisor.
Step 2: As 29 is smaller than 60, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 29 as 290 and add a decimal point in the quotient place.
Step 3: Now that it is 290, we can divide it by 60. Let's see how many times 60 fits into 290.
Step 4: 60 × 4 = 240. We will write 4 in the quotient place and subtract 240 from 290, which gives 50.
Step 5: Bring down another 0 in the dividend place, making it 500, and then continue the division process.
Step 6: 60 fits into 500 eight times, as 60 × 8 = 480. Subtract 480 from 500 gives 20.
Step 7: Bring down another 0, making it 200. 60 fits into 200 three times, as 60 × 3 = 180. Subtract 180 from 200 gives 20. The division process continues, indicating a recurring decimal.
The answer for 29/60 as a decimal will be 0.4833…