6.5 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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. A fraction represents both a whole and a fractional part. Decimals capture the fractional part of numbers. For example, in the decimal 6.5, we aim to learn how to convert this decimal into a fraction.

What is 6.5 as a Fraction?

$6.5 as a fraction$

Answer

The answer for 6.5 as a fraction is 13/2.

Explanation

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

Step 1: Convert the decimal to a fraction for easy calculation. In this case, 6.5 is the numerator over the base number 1 as the denominator. Thus, 6.5 becomes 6.5/1.

Step 2: To eliminate the decimal from a fraction, multiply both the numerator and denominator by 10 (since there is only 1 decimal place). 6.5/1 × 10/10 = 65/10

Step 3: Here, the GCD of 65 and 10 is 5. To simplify the fraction, divide the numerator and denominator by 5. 65/10 = 13/2

Thus, 6.5 can be written as a fraction 13/2.

Important Glossaries for 6.5 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 Number: A number consisting of an integer and a proper fraction part.