30.625 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. A fraction is a way to represent numbers. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 can be represented as a decimal with a decimal point (.), such as 0.5. We are going to learn how to convert a decimal like 30.625 to a fraction.

What is 30.625 as a Fraction?

$30.625 as a fraction$

Answer

The answer for 30.625 as a fraction will be 1225/40.

Explanation

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

Step 1: Firstly, express the decimal number over 1 to begin the conversion. Here, 30.625 becomes 30.625/1.

Step 2: To eliminate the decimal from the fraction, multiply both the numerator and the denominator by 1000 (since there are three decimal places). 30.625/1 × 1000/1000 = 30625/1000

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 30625 and 1000. Here, GCD is 25. Divide the numerator and denominator by this GCD. 30625/1000 = 1225/40

Thus, 30.625 can be written as a fraction 1225/40.

Important Glossaries for 30.625 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.