12.75 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type and is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a part of a whole. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal form are expressed with a decimal point (.), such as 12.75. Here, we are going to learn how to convert a decimal to a fraction.

12.75 as a Fraction for US Students

What is 12.75 as a Fraction?

$12.75 as a fraction$ Answer

The answer for 12.75 as a fraction is 51/4.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following these steps.

Step 1: Convert the decimal to a fraction for easy calculation. Here, 12.75 is the number on the numerator, and the base number 1 will be the denominator. Then, 12.75 becomes 12.75/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (because there are 2 decimal places). 12.75/1 × 100/100 = 1275/100

Step 3: The GCD of 1275 and 100 is 25. To simplify the fraction, divide the numerator and denominator by 25. 1275/100 = 51/4

Thus, 12.75 can be written as the fraction 51/4.

Important Glossaries for 12.75 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.
Greatest Common Divisor (GCD): The largest number that can divide two or more numbers without leaving a remainder.