Understanding fractions and decimal numbers is an essential skill in mathematics. Fraction and decimal numbers are two different ways of representing the same value. This article will discuss what the fraction of 1.2 is and how to convert 1.2 into a fraction.
Understanding Fractions and Decimals
Before we delve into the fraction of 1.2, it is important to understand the basics of fractions and decimals.
Fractions:
A fraction is a way of representing a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator represents the number of parts we have, while the denominator represents the total number of parts that make up the whole.
For example, the fraction 3/4 represents three parts out of a total of four parts.
Decimals:
Decimals, on the other hand, are a way of representing a part of a whole using the base-10 numbering system. It consists of a whole number part and a decimal part, separated by a decimal point. The decimal part represents a part of the whole number.
For example, the decimal 1.25 represents 1 whole, plus 25 hundredths.
Converting 1.2 to a Fraction
Now that we understand the basics of fractions and decimals, let’s look at how to convert the decimal number 1.2 into a fraction.
1.2 can be expressed as 1 and 2/10 in fraction form. However, to simplify the fraction, we can reduce it to its lowest terms. To do this, we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 2. After simplifying, we get the fraction 6/5.
So, the fraction of 1.2 is 6/5.
Converting Fractions to Decimals
Conversely, we can also convert fractions to decimals. This can be accomplished by dividing the numerator by the denominator. In the case of 6/5, the division would look like this:
| 6 ÷ 5 = | 1.2 |
|---|
As we can see, the result of 6 divided by 5 is 1.2, confirming that the fraction 6/5 is equivalent to the decimal 1.2.
FAQs
What is the fraction of 1.2 in simplest form?
The fraction of 1.2 in simplest form is 6/5. This fraction cannot be further reduced as 6 and 5 do not have any common factors other than 1.
How can I convert 1.2 into a fraction?
To convert 1.2 into a fraction, we can write it as 1 and 2/10. Then, we can simplify it to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 2. After simplifying, we get the fraction 6/5.
Is 1.2 a terminating or repeating decimal?
1.2 is a terminating decimal, meaning that its decimal representation ends after a finite number of digits. In this case, it terminates at the tenths place, making it a non-repeating decimal.
What is the relationship between fractions and decimals?
Fractions and decimals are two different ways of representing the same value. A fraction represents a part of a whole, while a decimal represents a part of the whole number using the base-10 numbering system. They are interconnected, and one can be easily converted into the other.
Now that we have a better understanding of the fraction of 1.2 and how to convert decimals to fractions and vice versa, we can apply this knowledge to solve various mathematical problems and understand the relationships between different number representations.
