Last updated on May 26th, 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, 3, which 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 fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
3/64 in decimals can be written as 0.046875. It is a terminating decimal, meaning it ends after a certain number of digits.
To get 3/64 in decimal, we will use the division method. Here, as 3 is smaller than 64, we will take help of decimal method which will give us 0.046875. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (64) will be taken as the divisor.
Step 2: As 3 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 makes 3 as 30 and add a decimal point in the quotient place.
Step 3: Now that it is 30, we will bring down another 0 making it 300.
Step 4: Divide 300 by 64. 64 goes into 300 approximately 4 times (as 64×4=256). Subtract 256 from 300 to get 44.
Step 5: Bring down another 0 to make it 440, and divide by 64 to get 6 (as 64×6=384). Subtract 384 from 440 to get 56.
Step 6: Bring down another 0 to make it 560, and divide by 64 to get 8 (as 64×8=512). Subtract 512 from 560 to get 48.
Step 7: Bring down another 0 to make it 480, and divide by 64 to get 7 (as 64×7=448). Subtract 448 from 480 to get 32.
Step 8: Bring down another 0 to make it 320, and divide by 64 to get 5 (as 64×5=320). Subtract 320 from 320 to get 0.
The answer for 3/64 as a decimal will be 0.046875.