0.46875 as a Fraction

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Numbers can be categorized into different types. 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; the numbers in decimal are expressed with a decimal point (.), for example, 0.46875. We are going to learn how to convert a decimal to a fraction.

What is 0.46875 as a Fraction?

$0.46875 as a fraction$

Answer

The answer for 0.46875 as a fraction is 15/32.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.46875 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.46875 becomes 0.46875/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100,000 (because there are 5 decimal places). 0.46875/1 × 100000/100000 = 46875/100000

Step 3: Here, 3125 is the GCD of 46875 and 100000. Now, to make the fraction simpler, divide the numerator and denominator by 3125. 46875/100000 = 15/32 Hence, 0.46875 is in the fraction form of 15/32.

Thus, 0.46875 can be written as a fraction 15/32.

Important Glossaries for 0.46875 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 two or more integers without leaving a remainder.