3.2 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A fraction is one such type. 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 form are expressed with a decimal point (.), such as 3.2. We are going to learn how to convert a decimal to a fraction.

What is 3.2 as a Fraction?

$3.2 as a fraction$

Answer

The answer for 3.2 as a fraction is 16/5.

Explanation

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

Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 3.2 is the number in the numerator and the base number 1 is the denominator. Thus, 3.2 becomes 3.2/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is one decimal place). 3.2/1 × 10/10 = 32/10

Step 3: The GCD of 32 and 10 is 2. Now, to make the fraction simpler, divide the numerator and denominator by 2. 32/10 = 16/5 Hence, 3.2 is in the fractional form 16/5.

Thus, 3.2 can be written as a fraction 16/5.

Important Glossaries for 3.2 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 number that divides two or more numbers without leaving a remainder.