6.6875 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kinds. 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. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.). For example, 6.6875, we are going to learn how to convert a decimal to a fraction.

What is 6.6875 as a Fraction?

$6.6875 as a fraction$

Answer

The answer for 6.6875 as a fraction will be 2675/400.

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, any decimal number should be converted to a fraction for easy calculation. Here, 6.6875 is the number on the numerator and the base number 1 will be the denominator. Then, 6.6875 becomes 6.6875/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 6.6875/1 × 10000/10000 = 66875/10000

Step 3: Here 25 is the GCD of 66875 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 66875/10000 = 2675/400

Thus, 6.6875 can be written as a fraction 2675/400.

Important Glossaries for 6.6875 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.
Greatest Common Divisor (GCD): The largest number that divides both the numerator and the denominator without leaving a remainder.