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Last updated on March 3rd, 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, 9, 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 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.
9/64 in decimals can be written as 0.140625. It is a terminating decimal, meaning it ends after a few digits.
To get 9/64 in decimal, we will use the division method. Here, as 9 is smaller than 64, we will use the decimal method, which will give us 0.140625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (64) as the divisor.
Step 2: As 9 is smaller than 64, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 9 into 90, and add a decimal point in the quotient place.
Step 3: Now that it is 90, we divide it by 64. Let's see how many times 64 fits into 90.
Step 4: 90 divided by 64 gives 1, with a remainder of 26. Bring down 0 to make 260.
Step 5: 260 divided by 64 gives 4, with a remainder of 4. Bring down another 0 to make 40.
Step 6: 40 divided by 64 gives 0. Bring down another 0 to make 400.
Step 7: 400 divided by 64 gives 6, with a remainder of 16. Bring down another 0 to make 160.
Step 8: 160 divided by 64 gives 2, with a remainder of 32. Bring down another 0 to make 320. Step 9: 320 divided by 64 gives 5, with no remainder.
The answer for 9/64 as a decimal will be 0.140625.