14.875 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 14.875. We are going to learn how to convert a decimal to a fraction.

14.875 as a Fraction for US Students

What is 14.875 as a Fraction?

$14.875 as a fraction$

Answer:

The answer for 14.875 as a fraction will be 119/8.

Explanation:

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 14.875 is the number with a whole part and a decimal part. Convert it to a mixed number: 14 + 0.875/1.

Step 2: To remove the decimal from the fraction part, you need to multiply both the numerator and denominator of 0.875 by 1000 (because there are 3 decimal places). 0.875/1 × 1000/1000 = 875/1000

Step 3: Simplify the fraction 875/1000. Here, 125 is the GCD of 875 and 1000. Divide the numerator and denominator by 125. 875/1000 = 7/8

Step 4: Combine the whole number and the simplified fraction: 14 + 7/8, which can be written as an improper fraction: (14*8 + 7)/8 = 119/8.

Thus, 14.875 can be written as a fraction 119/8.

Important Glossaries for 14.875 as a Fraction

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.

Improper Fraction: A fraction where the numerator is greater than or equal to the denominator, representing a number greater than or equal to one whole.