6.34 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. A fraction is one such type, represented in the form of p/q, where p is the numerator and q is the denominator. Fractions express a whole and a fractional part. Decimals represent the fractional part of numbers. For instance, 1/2 is a fraction, and numbers in decimal form are expressed with a decimal point (.), such as 6.34. We are going to learn how to convert a decimal to a fraction.

What is 6.34 as a Fraction?

$6.34 as a fraction$

Answer

The answer for 6.34 as a fraction is 317/50.

Explanation

Converting a decimal to a fraction can be done easily by following these steps:

Step 1: Convert the decimal number to a fraction for easier calculation. Here, 6.34 is the number on the numerator, and the base number 1 will be the denominator. Thus, 6.34 becomes 6.34/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (because there are 2 decimal places). 6.34/1 × 100/100 = 634/100

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 634 and 100, which is 2. Divide both the numerator and denominator by 2. 634/100 = 317/50

Thus, 6.34 can be written as a fraction 317/50.

Important Glossaries for 6.34 as a Fraction

Fraction: A numerical quantity that represents a part of a whole, expressed as p/q, where p is the numerator and q is the denominator.
Decimal: A number that is based on 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.
Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD).