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Last updated on March 11th, 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: numerator (number on the top) here, 20 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. 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.
20/3 in decimals can be written as 6.66666…. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 20/3 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (20) will be taken as the dividend and denominator (3) will be taken as the divisor.
Step 2: Divide 20 by 3 to get the whole number part of the decimal. 3 goes into 20 six times (3 × 6 = 18), leaving a remainder of 2.
Step 3: Add a decimal point in the quotient and bring down a 0 to make the remainder 20.
Step 4: Now, divide 20 by 3 again. Repeat the division process: 3 × 6 = 18, leaving a remainder of 2.
Step 5: Bring down another 0, making it 20, and continue with the division. This process is a recurring decimal.
The answer for 20/3 as a decimal will be 6.6666……