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Last updated on March 4th, 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 10, representing how many parts out of the whole, and the denominator (number below), here 25, showing how many parts make the whole. 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.
10/25 in decimals can be written as 0.4. It is a terminating decimal, meaning it does not repeat indefinitely.
To convert 10/25 to a decimal, we will use the division method. Here, as 10 is smaller than 25, we will need to use the decimal method to find the decimal equivalent. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (25) will be taken as the divisor.
Step 2: As 10 is smaller than 25, it can't be divided in whole, so we will use decimals. We will add a decimal point to the quotient and add a zero to the dividend, making 10 as 100.
Step 3: Now, we divide 100 by 25. Let's see how many times 25 fits into 100.
Step 4: 25 is a factor of 100, and it fits exactly 4 times. So, we write 4 in the quotient place.
Step 5: Since there is no remainder, the division stops here.
The answer for 10/25 as a decimal is 0.4.