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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 (number on the top) here, 8 represents how many parts out of the whole. The denominator (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 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.
8/25 in decimal can be written as 0.32. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 8/25 to decimal, we will use the division method. Since 8 is smaller than 25, we will employ the decimal method, which will give us 0.32. Here's a step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend, and the denominator (25) will be the divisor.
Step 2: As 8 is smaller than 25, it can't be divided directly, so we will use decimals. Add 0 to the dividend, making it 80, and add a decimal point in the quotient.
Step 3: Now that it is 80, we can divide it by 25. Determine how many times 25 goes into 80.
Step 4: 25 × 3 = 75, which is the nearest multiple of 25 less than 80. Write 3 in the quotient place and subtract 75 from 80, leaving a remainder of 5.
Step 5: Bring down another 0 in the dividend place, making it 50, and repeat the division process.
Step 6: 25 goes into 50 exactly 2 times (25 × 2 = 50), leaving no remainder. The division process ends here, resulting in a terminating decimal.
The result for 8/25 as a decimal is 0.32.