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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, 17 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 the 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.
17/25 in decimals can be written as 0.68. It is a terminating decimal, meaning the division ends and does not repeat infinitely.
To get 17/25 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (17) will be taken as the dividend and denominator (25) will be taken as the divisor.
Step 2: Divide 17 by 25. Since 17 is smaller than 25, add a decimal point and a zero to the dividend, making it 170.
Step 3: Now, divide 170 by 25. Determine how many times 25 fits into 170.
Step 4: 25 goes into 170 six times since 25 × 6 = 150. Write 6 in the quotient place and subtract 150 from 170, leaving a remainder of 20.
Step 5: Bring down another 0 to make it 200 and divide by 25, which fits 8 times exactly since 25 × 8 = 200.
Step 6: As the remainder is now 0, the division ends.
The answer for 17/25 as a decimal will be 0.68.