8.02 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fractions are one such type. They are always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), such as 8.02. We are going to learn how to convert a decimal to a fraction.

What is 8.02 as a Fraction?

$8.02 as a fraction$

Answer

The answer for 8.02 as a fraction will be 401/50.

Explanation

Converting a decimal to a fraction is a task 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, 8.02 is the number in the numerator and the base number 1 will be the denominator. Then, 8.02 becomes 8.02/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 100 (because there are two decimal places). 8.02/1 × 100/100 = 802/100

Step 3: Here, 2 is the GCD of 802 and 100. To make the fraction simpler, divide the numerator and denominator by 2. 802/100 = 401/50

Thus, 8.02 can be written as a fraction 401/50.

Important Glossaries for 8.02 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.