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Last updated on March 13th, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) here, 30, which represents how many parts out of the whole are considered. The denominator (the number below) shows how many parts make up the whole; here it is 20. A decimal is a way to represent a number that is not whole, using 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.
30/20 in decimals can be written as 1.5. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 30/20 into a decimal, we will use the division method. Here, 30 is larger than 20, so we can perform the division directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (30) will be taken as the dividend, and the denominator (20) will be taken as the divisor.
Step 2: Perform the division 30 ÷ 20.
Step 3: 20 goes into 30 once, so we write 1 in the quotient place.
Step 4: Subtract 20 from 30, which gives us a remainder of 10.
Step 5: Bring down a 0 to make it 100, then divide by 20.
Step 6: 20 goes into 100 five times, so we write 5 in the quotient place. The division process ends as we have no remainder.
Therefore, 30/20 as a decimal is 1.5.