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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: the numerator (number on the top) here, 10 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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.
10/4 in decimals can be written as 2.5. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 10/4 in decimal, we will use the division method. Here, 10 is larger than 4, so we can directly divide without initially using a decimal method. 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 (4) will be taken as the divisor.
Step 2: Divide 10 by 4. Let's see how many times 4 fits into 10.
Step 3: 4 × 2 = 8, so we write 2 in the quotient place and subtract 8 from 10, which gives 2.
Step 4: Bring down a 0 in the dividend place, making it 20, and then divide 20 by 4.
Step 5: 4 × 5 = 20, so we write 5 in the quotient place. Subtracting 20 from 20 gives 0, which means no remainder.
This process stops here, and the answer for 10/4 as a decimal is 2.5.