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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: numerator (number on the top), here 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 10. 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.
3/10 in decimals can be written as 0.3. It is a terminating decimal, meaning it does not repeat any digit infinitely.
To get 3/10 in decimal, we will use the division method. Here, 3 is smaller than 10, so we will take help of the decimal method which will give us 0.3. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (10) will be taken as the divisor.
Step 2: As 3 is smaller than 10, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, which will make 3 as 30 and add a decimal point in the quotient place.
Step 3: Now that it is 30, we can divide it by 10. Let's see how many times 10 makes 30.
Step 4: 30 is a multiple of 10, so we will look for how many times 10 fits into 30. 10 × 3 = 30. We will write 3 in the quotient place, and subtracting 30 from 30 gives 0.
Step 5: Since the remainder is 0, the division process stops here.
The answer for 3/10 as a decimal will be 0.3.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.