7.6% as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Percentages represent a portion out of 100. For example, 1/2. When numbers are expressed as percentages, they are often converted to fractions for easier manipulation. For example, 7.6%, we are going to learn how to convert a percentage to a fraction.

What is 7.6% as a Fraction?

$7.6% as a fraction$ Answer

The answer for 7.6% as a fraction will be 19/250.

Explanation

Converting a percentage 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, convert the percentage to a fraction by dividing by 100. Here, 7.6% becomes 7.6/100.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 7.6/100 × 10/10 = 76/1000

Step 3: Here 4 is the GCD of 76 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 4. 76/1000 = 19/250

Thus, 7.6% can be written as a fraction 19/250.

Important Glossaries for 7.6% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A way of expressing a number as a fraction of 100, denoted using the symbol %.
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.
Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers in a set without a remainder.