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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 from the whole. It has two parts: 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 32. 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.
19/32 in decimals can be written as 0.59375. It is a terminating decimal, indicating that it ends after a finite number of decimal places.
To get 19/32 in decimal, we will use the division method. Here, 19 is smaller than 32, so we will use the decimal method which will give us 0.59375.
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 (32) will be taken as the divisor.
Step 2: As 19 is smaller than 32, it can't be divided directly, so we will introduce a decimal point in the quotient and add 0 to the dividend, making it 190.
Step 3: Now that it is 190, we can divide it by 32. Let's see how many times 32 fits into 190.
Step 4: 32 multiplied by 5 equals 160, which is the largest multiple less than 190. Write 5 in the quotient place and subtract 160 from 190 to get 30.
Step 5: Bring down another 0, making it 300. Divide 300 by 32 to continue the process. Repeat the division until the remainder becomes 0 or reaches a finite decimal place. The division process completes, and we get the remainder as 0.
The answer for 19/32 as a decimal will be 0.59375.