120.25 as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types. A fraction is one of its kinds. 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. Numbers in decimal are expressed with a decimal point (.), for example, 120.25. We are going to learn how to convert a decimal to a fraction.

What is 120.25 as a Fraction?

$120.25 as a fraction$

Answer

The answer for 120.25 as a fraction is 481/4.

Explanation

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

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 120.25 is the number in the numerator, and the base number 1 will be the denominator. Thus, 120.25 becomes 120.25/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (because there are 2 decimal places). 120.25/1 × 100/100 = 12025/100

Step 3: The GCD of 12025 and 100 is 25. To simplify the fraction, divide both the numerator and the denominator by 25. 12025/100 = 481/4

Thus, 120.25 can be written as a fraction 481/4.

Important Glossaries for 120.25 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 each of the integers in a set without leaving a remainder.