What Is 5.78 in the Form of p/q?

Understanding the Basics of Fractions

If you are wondering what 5.78 in the form of p/q is, then you have come to the right place. In this article, we will discuss the basics of fractions and how they can be used to express numbers such as 5.78.

What Is a Fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written as two numbers separated by a slash. The top number is called the numerator and the bottom number is called the denominator.

The numerator is the number of parts that are being considered. The denominator is the number of parts that make up the whole. For example, if you have 4 apples and you want to divide them equally, then you would have 4/4. This is written as 4/4 because 4 parts make up the whole.

How Can We Use Fractions to Express 5.78?

5.78 is a decimal number. To express this number in the form of a fraction, we must first convert it into a fraction. This can be done by multiplying 5.78 by 10, 100, or 1000, until the number is a whole number. For example, if we multiply 5.78 by 10, we get 57.8. We can then express this number as a fraction by writing it as 57.8/10.

Converting a Fraction to Its Simplest Form

When expressing a fraction as a decimal, it is important to convert it to its simplest form. Simplifying a fraction means reducing the numerator and denominator to the lowest common terms. To do this, you must find the highest common factor (HCF) of the numerator and denominator. Once the HCF is determined, it should be divided into both the numerator and denominator.

Conclusion

The 5.78 in the form of p/q is 57.8/10. By understanding the basics of fractions and how to convert a decimal number to a fraction, you will be able to express any number as a fraction. Just remember to simplify the fraction by finding the highest common factor and dividing it into both the numerator and denominator.