7.07106781187 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A 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. Fractions represent 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, 7.07106781187, we are going to learn how to convert a decimal to a fraction.

What is 7.07106781187 as a Fraction?

Answer

The answer for 7.07106781187 as a fraction is approximately 707106781187/100000000000 or simplified based on GCD.

Explanation

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

Step 1: Start by expressing the decimal number as a fraction with 1 in the denominator. So, 7.07106781187 becomes 7.07106781187/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 10^12 (since there are 12 decimal places). 7.07106781187/1 × 1000000000000/1000000000000 = 707106781187/1000000000000

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and divide both by that GCD. Depending on the GCD, the fraction can be further simplified.

Thus, 7.07106781187 can be approximately written as a fraction.

$7.07106781187 as a fraction$

Important Glossaries for 7.07106781187 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.
Non-Terminating Decimal: A decimal that does not end and continues infinitely without repeating.