18 3/8 as a Decimal

Answer

18 3/8 in decimals can be written as 18.375. This decimal is a terminating decimal, meaning it does not repeat infinitely.

Explanation

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.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.