3.92 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; the numbers in decimal are expressed with a decimal point (.), for example, 3.92. We are going to learn how to convert a decimal to a fraction.

What is 3.92 as a Fraction?

$3.92 as a fraction$

Answer

The answer for 3.92 as a fraction is 98/25.

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, 3.92 is the number with the base number 1 as the denominator. Then, 3.92 becomes 3.92/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100 (because there are only 2 decimal places). 3.92/1 × 100/100 = 392/100

Step 3: Here 4 is the GCD of 392 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 4. 392/100 = 98/25

Thus, 3.92 can be written as a fraction 98/25.

Important Glossaries for 3.92 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 numbers without leaving a remainder.