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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts, numerator (number on the top) here, 21 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 35. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
21/35 in decimals can be written as 0.6. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 21/35 in decimal, we will use the division method. Here 21 is smaller than 35, so we will perform the division to convert it into a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (35) will be taken as the divisor.
Step 2: As 21 is smaller than 35, it cannot be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 21 as 210 and add a decimal point in the quotient place.
Step 3: Now that it is 210, we can divide it by 35. Let's see how many times 35 fits into 210.
Step 4: 35 × 6 = 210, so we will write 6 in the quotient place, and subtract 210 from 210 gives 0.
Step 5: The division process ends here as we get the remainder as 0.
The answer for 21/35 as a decimal will be 0.6.