3.8 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one such type, 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 (.), for example, 3.8. We are going to learn how to convert a decimal to a fraction.

What is 3.8 as a Fraction?

$3.8 as a fraction$

Answer

The answer for 3.8 as a fraction is 19/5.

Explanation

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

Step 1: Firstly, represent the decimal number as a fraction by placing it over 1. Here, 3.8 becomes 3.8/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 10 (since there is only one decimal place). 3.8/1 × 10/10 = 38/10

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 38 and 10, which is 2. Divide both the numerator and denominator by 2. 38/10 = 19/5

Thus, 3.8 can be expressed as a fraction 19/5.

Important Glossaries for 3.8 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
.
Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor.