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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 the whole. It has two parts: the numerator (number on the top) here, 25 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 a 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.
25/64 in decimals can be written as 0.390625. It is a terminating decimal, meaning it does not repeat infinitely.
To get 25/64 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 (25) will be taken as the dividend and the denominator (64) will be taken as the divisor.
Step 2: Divide 25 by 64. Since 25 is smaller than 64, we place a decimal point in the quotient and add zeros to the dividend.
Step 3: Multiply 64 by 0, which gives 0. Subtract 0 from 25, leaving 25.
Step 4: Bring down a 0, making it 250. Divide 250 by 64 to get 3. 64 multiplied by 3 is 192. Subtracting 192 from 250 leaves 58.
Step 5: Bring down another 0 to make 580. Divide 580 by 64 to get 9. 64 multiplied by 9 is 576. Subtracting 576 from 580 leaves 4.
Step 6: Bring down another 0 to make 40. Divide 40 by 64 to get 0.
Step 7: Continue this process until the remainder becomes zero, providing a precise decimal representation.
The answer for 25/64 as a decimal will be 0.390625.