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Last updated on March 4th, 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: the numerator (the number on the top) here, 24 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 30. 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.
24/30 in decimals can be simplified first and then written as 0.8. It is a terminating decimal, meaning it does not repeat infinitely.
To get 24/30 in decimal, we first simplify the fraction. The greatest common divisor of 24 and 30 is 6, so we divide both by 6, getting 4/5. Then, we convert 4/5 to decimal using division.
Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend, and the denominator (5) will be taken as the divisor.
Step 2: Divide 4 by 5. Since 4 is smaller than 5, we place a decimal point in the quotient and add a 0 to the dividend, making it 40.
Step 3: Now divide 40 by 5, which gives 8.
Step 4: Write 8 in the quotient place. So, 4/5 as a decimal is 0.8.
hence 24/30 as a decimal is also 0.8.This process is called a terminating decimal.