2.675 as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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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 (.), for example, 2.675. We are going to learn how to convert a decimal to a fraction.

What is 2.675 as a Fraction?

$2.675 as a fraction$

Answer

The answer for 2.675 as a fraction is 2 27/40.

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, convert the whole number and decimal part separately. Here, 2 is the whole number and 0.675 is the decimal part. The decimal part can be written as 0.675/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.675/1 × 1000/1000 = 675/1000

Step 3: Here, 25 is the GCD of 675 and 1000. Now, to simplify the fraction, divide the numerator and denominator by 25. 675/1000 = 27/40

Step 4: Combine the simplified fraction with the whole number.

Thus, 2.675 can be written as a mixed fraction: 2 27/40.

Important Glossaries for 2.675 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.
Mixed Fraction: A number made up of a whole number and a fraction.