9.0625 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one type, 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, 9.0625, which we will convert into a fraction.

9.0625 as a Fraction for US Students

What is 9.0625 as a Fraction?

$9.0625 as a fraction$

Answer

The answer for 9.0625 as a fraction will be 145/16.

Explanation

Converting a decimal to a fraction is a task that can be done easily with these steps:

Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 9.0625 is the numerator, and the base number 1 will be the denominator. Thus, 9.0625 becomes 9.0625/1.

Step 2: To remove the decimal from a fraction, multiply both the numerator and denominator by 10000 (because there are four decimal places). 9.0625/1 × 10000/10000 = 90625/10000

Step 3: The GCD of 90625 and 10000 is 625. Now, to simplify the fraction, divide the numerator and denominator by 625. 90625/10000 = 145/16

Thus, 9.0625 can be written as the fraction 145/16.

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Important Glossaries for 9.0625 as a Fraction

Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.
Decimal: A number expressed in the base ten system, including a decimal point to separate the integer part from the fractional part.
Numerator: The top number in a fraction, indicating the parts of the whole being considered.
Denominator: The bottom number in a fraction, indicating the total number of equal parts that make up the whole.
Greatest Common Divisor (GCD): The largest number that divides both the numerator and the denominator without leaving a remainder.