Express 0.64 As a Fraction

Expressing decimal numbers as fractions is a fundamental skill in mathematics, allowing us to represent values in a different form. In this article, we will delve into the process of converting the decimal number 0.64 into a fraction.

A fraction is a mathematical concept used to express a part of whole. It provides a precise way of representing quantities that are not whole numbers. Fractions consist of two components: a numerator and a denominator, which are separated by a horizontal line called a fraction bar or a slash. The numerator indicates the number of parts being considered, while the denominator represents the total number of equal parts that make up the whole.

Consider the fraction 1/2 as an example. In this case the numerator is 1. This means that you are only looking at part. The denominator is 2, meaning the whole is divided into two equal parts. Thus, 1/2 represents one of two equal parts, and similarly fractions such as 3/4, 2/5, and 7/8 can be used to represent various proportions or divisions of a whole. I can.

0.64 As A Fraction

To represent 0.64 as a fraction, we must first understand its place value. 0.64 can be divided into integer part and decimal part. Integer part of 0.64 is 0 and decimal part is 0.64.

The decimal portion needs to be changed into a fraction next. Because 0.64 has two decimal places, it can be represented as 64/100. We can divide numerator and denominator by their greatest common factor, 32, to simplify this fraction.

Therefore, 0.64 can be expressed as a fraction in simplest form as 32/50. However, this fraction can be simplified further by dividing both the numerator and denominator by their greatest common factor, which is 2. This gives us:

Hence, 0.64 can be expressed as the fraction in simplest form.

Conclusion

Expressing decimal numbers as fractions is an important concept in mathematics. To express 0.64 as a fraction, we need to convert its decimal part into a fraction and simplify it to the lowest terms. In this case, 0.64 can be expressed as 16/25 in simplest form.