14 3/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Converting 14 3/4 into a decimal involves understanding fractions and decimals. A fraction represents a part of a whole. It consists of a numerator (the number on top), which in this case is 3, indicating how many parts out of the total are considered, and a denominator (the number below), which here is 4, showing how many parts make up the whole. A decimal represents a non-whole number using a decimal point (.) to separate the whole number part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

What is 14 3/4 as a decimal?

$14 3/4 as a decimal$

Answer

14 3/4 as a decimal is 14.75. This is a terminating decimal, meaning the digits do not repeat infinitely.

Explanation

To convert 14 3/4 into a decimal, follow these steps:

Step 1: Identify the whole number and the fraction in 14 3/4. The whole number is 14, and the fraction is 3/4.

Step 2: Convert the fraction 3/4 into a decimal by dividing the numerator by the denominator.

Step 3: Divide 3 by 4, which equals 0.75. Step 4: Combine the whole number with the decimal. Add 14 and 0.75 to get 14.75.

Important Glossaries for 14 3/4 as a decimal

Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.
Decimal: A number expressed in the base ten, using a decimal point to separate the whole number from the fractional part.
Numerator: The top part of a fraction, indicating the number of parts considered.
Denominator: The bottom part of a fraction, showing how many parts make up the whole.
Terminating Decimal: A decimal number that ends and does not have infinitely repeating digits.