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Last updated on March 17th, 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, 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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.
18 3/8 in decimals can be written as 18.375. This decimal is a terminating decimal, meaning it does not repeat infinitely.
To convert 18 3/8 into a decimal, we separate the whole number from the fractional part and convert the fraction into a decimal.
Step 1: Identify the whole number, which is 18, and the fraction, which is 3/8.
Step 2: To convert 3/8 into a decimal, divide the numerator by the denominator.
Step 3: Divide 3 by 8. Since 3 is smaller than 8, we use the decimal method.
Step 4: Add a decimal point and a zero to make it 30. Divide 30 by 8, which gives 3 with a remainder of 6.
Step 5: Add another zero to make it 60, and divide by 8, which gives 7 with a remainder of 4.
Step 6: Add another zero to make it 40, and divide by 8, which gives 5 with no remainder. The fraction 3/8 converts to 0.375, and then we add the whole number part to get 18.375.