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Last updated on March 11th, 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 (the number on the top) here, 24 represents how many parts out of the whole are being considered. The denominator (the 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.
24/32 in decimals can be written as 0.75. It is a terminating decimal, meaning it does not repeat infinitely.
To get 24/32 in decimal, we will use the division method. Here, 24 is smaller than 32, so we will directly divide 24 by 32 using the decimal method, which will give us 0.75. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (24) will be taken as the dividend and the denominator (32) will be taken as the divisor.
Step 2: As 24 is smaller than 32, we cannot divide it directly, so we will add a decimal point in the quotient place and add a zero to the dividend to make it 240.
Step 3: Now that it is 240, we can divide it by 32. Let's see how many times 32 fits into 240.
Step 4: 32 goes into 240 exactly 7 times, because 32 × 7 = 224.
Step 5: Subtract 224 from 240, which gives 16. Bring down another 0 to make it 160.
Step 6: Divide 160 by 32, which is 32 × 5 = 160.
Step 7: Subtract 160 from 160, and we get a remainder of 0.
The answer for 24/32 as a decimal will be 0.75.