6.8% as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of these types, represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals are another way to represent the fractional part of numbers. For example, 1/2. Percentages are another form, which can also be converted into fractions. For instance, converting 6.8% to a fraction is what we will learn here.

6.8% as a Fraction for US Students

What is 6.8% as a Fraction?

Answer

The answer for 6.8% as a fraction is 34/500.

Explanation

Converting a percentage to a fraction is a straightforward process. Follow the steps below to find the answer.

Step 1: Percentages are out of 100. Thus, 6.8% can be written as 6.8/100.

Step 2: Remove the decimal by multiplying both the numerator and the denominator by 10 (because there is only one decimal place). 6.8/100 × 10/10 = 68/1000

Step 3: Find the greatest common divisor (GCD) of 68 and 1000, which is 2. Simplify the fraction by dividing both the numerator and the denominator by 2. 68/1000 = 34/500

Thus, 6.8% can be written as a fraction 34/500.

Important Glossaries for 6.8% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A fraction or ratio with 100 as the denominator, used to express a number as 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.