2.28 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of these types. It 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 fractional part. Decimals represent the fractional part of numbers. For example, 1/2 can be a fraction, and numbers in decimal form are expressed with a decimal point (.), such as 2.28. We are going to learn how to convert a decimal to a fraction.

2.28 as a Fraction for US Students

What is 2.28 as a Fraction?

$2.28 as a fraction$ Answer

The answer for 2.28 as a fraction is 57/25.

Explanation

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

Step 1: Convert the decimal number to a fraction by placing it over 1. Here, 2.28 becomes 2.28/1.

Step 2: To remove the decimal point, multiply both the numerator and the denominator by 100 (because there are 2 decimal places). 2.28/1 × 100/100 = 228/100

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 228 and 100 is 4. 228/100 = 57/25

Thus, 2.28 can be written as a fraction 57/25.

Important Glossaries for 2.28 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 positive integer that divides the numbers without leaving a remainder.