Final answer:
The decimal 0.82 is equivalent to 82/100, and upon simplifying by dividing both the numerator and the denominator by 2, the simplest form of the fraction is 41/50.To convert a decimal into a fraction, we need to first write the given decimal in the form of a fraction, by adding a denominator 1.
Step-by-step explanation:
To convert the decimal 0.82 to a fraction, we need to follow a few steps. First, we recognize that 0.82 is the same as 82/100. This is because the digit 2 is in the hundredths place, which means the decimal can be expressed as a fraction with a denominator of 100. Next, we simplify the fraction by finding the greatest common divisor (GCD) of 82 and 100, which is 2. Therefore, we divide both the numerator and denominator by 2 to get the simplest form:
Thus, the decimal 0.82 in simplest fractional form is 41/50.
Fractions: Fraction is a part of a whole number. It is denoted as a ratio of two numbers a/b, where a and b are integers, also b≠0. The two numbers are called the numerator and denominator. For example, 1/2 is a part of 1, 3/5 is a part of 3, etc. We can perform all the arithmetic operations on fractions. There are three types of fractions, Proper, Improper and Mixed.
To convert a decimal into a fraction, we need to first write the given decimal in the form of a fraction, by adding a denominator 1. Then we need to multiply both numerator and denominator with the multiples of 10, to remove decimal (.) from the given number. For example, 1.9 is a decimal number, then the equivalent fraction will be 19/10. We cannot simply 19/10 further.