10.65 as a Fraction

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Numbers can be categorized into different types. A fraction is one of these types. It is always 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 represent the fractional parts of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.); for example, 10.65. We are going to learn how to convert a decimal to a fraction.

What is 10.65 as a Fraction?

$10.65 as a fraction$

Answer

The answer for 10.65 as a fraction will be 213/20.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following a few steps. 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, 10.65 is the number with the whole part as the numerator and the base number 1 as the denominator. Then, 10.65 becomes 10.65/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100 (because there are 2 decimal places). 10.65/1 × 100/100 = 1065/100

Step 3: Here, 5 is the GCD of 1065 and 100. Now, to simplify the fraction, divide the numerator and denominator by 5. 1065/100 = 213/20

Thus, 10.65 can be written as a fraction 213/20.

Important Glossaries for 10.65 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 positive integer that divides two numbers without leaving a remainder, used to simplify fractions.