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Last updated on March 17th, 2025
It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 21, represents how many parts out of the whole. The denominator (the number below) shows how many parts make up the whole, here it is 30. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
21/30 in decimals can be written as 0.7. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 21/30 to a decimal, we use the division method. Here we will divide 21 by 30. 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 (30) as the divisor.
Step 2: Divide 21 by 30. Since 21 is smaller than 30, the result will be less than 1, and we will use decimal division.
Step 3: Add a decimal point and a zero to the dividend, making it 210.
Step 4: 30 goes into 210 exactly 7 times, as 30 × 7 = 210.
Step 5: Subtract 210 from 210, which leaves a remainder of 0.
Since there is no remainder, the division stops here. 21/30 as a decimal is 0.7.