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Last updated on March 18th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from 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 64. 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 that to the right represents the fractional part.
29/64 in decimals can be written as 0.453125. It is a terminating decimal, meaning it does not repeat infinitely.
To get 29/64 in decimal, we will use the division method. Here, as 29 is smaller than 64, we will take help of decimal method which will give us 0.453125. 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 (64) will be taken as the divisor.
Step 2: As 29 is smaller than 64, it can't be divided, so 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 64. Let's see how many times 64 makes 290.
Step 4: The nearest number that is 64 x 4 = 256. We will write 4 in the quotient place and subtract 256 from 290, which gives 34.
Step 5: Bring down another 0 in the dividend place, making it 340, and then repeat the division process.
Step 6: Continue this process until there are no more remainders.
The answer for 29/64 as a decimal will be 0.453125.