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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: the numerator (the number on the top) here, 24, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 25. 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.
24/25 in decimals can be written as 0.96. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 24/25 into a decimal, we will use the division method. Since 24 is smaller than 25, we will use the decimal method, which will give us 0.96. 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 (25) will be taken as the divisor.
Step 2: As 24 is smaller than 25, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making 24 into 240, and add a decimal point in the quotient place.
Step 3: Now that it is 240, we can divide it by 25. Let's see how many times 25 fits into 240.
Step 4: 240 divided by 25 is 9 with a remainder. We write 9 in the quotient place, and 25 times 9 is 225. Subtract 225 from 240 to get 15.
Step 5: Bring down another 0 in the dividend place, making 15 into 150, and divide again by 25.
Step 6: 150 divided by 25 is 6 with no remainder. The division ends here, and we have a terminating decimal.
Thus, the answer for 24/25 as a decimal is 0.96.