3.84 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

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, 3.84. We are going to learn how to convert a decimal to a fraction.

What is 3.84 as a Fraction?

$3.84 as a fraction$

Answer

The answer for 3.84 as a fraction will be 96/25.

Explanation

Converting a decimal to a fraction is a task for students 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, 3.84 is the number on the numerator and the base number 1 will be the denominator. Then, 3.84 becomes 3.84/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 100 (because there are 2 decimal places). 3.84/1 × 100/100 = 384/100

Step 3: Here 4 is the GCD of 384 and 100. Now, to make the fraction simpler, divide the numerator and the denominator by 4. 384/100 = 96/25 Hence, 3.84 is in the form fraction of 96/25.

Thus, 3.84 can be written as a fraction 96/25.

Important Glossaries for 3.84 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.
GCD (Greatest Common Divisor): The largest positive integer that divides two or more numbers without a remainder.