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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, 23, 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 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.
23/32 in decimals can be written as 0.71875. It is a terminating decimal, meaning it does not repeat indefinitely.
To get 23/32 in decimal, we will use the division method. Here, as 23 is smaller than 32, we will take help of the decimal method, which will give us 0.71875. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend, and the denominator (32) will be taken as the divisor.
Step 2: As 23 is smaller than 32, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 230, and add a decimal point in the quotient place.
Step 3: Now that it is 230, we can divide it by 32. Let's see how many times 32 makes 230.
Step 4: 230 is not a multiple of 32, so we will look for the nearest number, 32 × 7 = 224. We will write 7 in the quotient place and subtract 224 from 230, giving 6.
Step 5: Bring down another 0 in the dividend place and make 6 into 60, then repeat the division process. Step 6: Continue the division process until the remainder is zero.
The answer for 23/32 as a decimal will be 0.71875.