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Last updated on March 5th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 18 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. 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.
18/24 in decimals can be simplified to 0.75. It is a terminating decimal.
To get 18/24 in decimal, we will first simplify the fraction. The greatest common divisor of 18 and 24 is 6. Divide both the numerator and the denominator by 6 to simplify: 18 ÷ 6 = 3 24 ÷ 6 = 4 Therefore, 18/24 simplifies to 3/4. Now, convert 3/4 into a decimal using division:
Step 1: Identify the numerator and denominator, where the numerator (3) will be taken as the dividend and the denominator (4) as the divisor.
Step 2: Divide 3 by 4. Since 3 is smaller than 4, we will use the decimal method. Add a decimal point and a zero to make it 30.
Step 3: Divide 30 by 4, which gives 7 whole times. Write 7 in the quotient place.
Step 4: 4 × 7 = 28; subtract 28 from 30, which leaves a remainder of 2.
Step 5: Bring down another 0, making it 20. Divide 20 by 4, which gives 5.
Step 6: 4 × 5 = 20; subtract 20 from 20, which leaves no remainder. The division process ends here, as we get a remainder of 0.
The answer for 18/24 as a decimal is 0.75.