Table Of Contents
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, 19 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
19/64 in decimals can be written as 0.296875. It is a terminating decimal, showing it does not repeat indefinitely.
To get 19/64 in decimal, we will use the division method. Here, as 19 is smaller than 64, we will use the decimal method, which will give us 0.296875. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend, and the denominator (64) will be taken as the divisor.
Step 2: As 19 is smaller than 64, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 19 as 190 and add a decimal point in the quotient place.
Step 3: Now that it is 190, we can divide it by 64. Let's see how many times 64 makes 190.
Step 4: 190 is not a multiple of 64, so we will look for the nearest number that is 64 × 2 = 128. We will write 2 in the quotient place and subtract 128 from 190, which gives 62.
Step 5: Bring down another 0 in the dividend place, making 62 into 620, then continue the division process. The division process continues, and we find that the remainder eventually becomes 0, indicating a terminating decimal.
The answer for 19/64 as a decimal will be 0.296875.