When we write a decimal number like 1.2 as a fraction, we are expressing it as a ratio of two integers. In other words, we are finding an equivalent fraction for the decimal number.
The answer to 1.2 as a fraction is 6/5.
No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In the case of 1.2 as a fraction, it can be simplified to 6/5, which is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.
To convert 1.2 into a fraction, we can follow these steps:
Step 1: First convert it into a fraction with a denominator of 1, which is equal to the decimal itself. So, 1.2 can be written as 1.2/1.
Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, or any power of 10, and multiply the denominator by the same number. In this case, we can multiply both the numerator and denominator by 10 to get 12/10.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 2. So, 12/10 simplifies to 6/5.
Step 4: Get the answer. The simplified fraction 6/5 is the answer to 1.2 as a fraction.
Example 1: Convert 1.2 into a fraction.
Step 1: 1.2 can be written as 1.2/1.
Step 2: Multiply both the numerator and denominator by 10 to get 12/10.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, 12/10 simplifies to 6/5.
Answer: 1.2 as a fraction is 6/5.
Fractions in mathematics represent a part of a whole or a division of one quantity by another. They are used to express numbers that are not whole numbers or integers. Fractions are essential in various mathematical operations, such as addition, subtraction, multiplication, and division.
In mathematics, fractions are represented using the fraction bar (/) or a horizontal line. The numerator is written above the fraction bar, and the denominator is written below the fraction bar. For example, 3/4 represents the fraction three-fourths.
There are several types of fractions in mathematics, including:
Proper fractions: Fractions where the numerator is smaller than the denominator, such as 1/2 or 3/5.
Improper fractions: Fractions where the numerator is equal to or greater than the denominator, such as 5/4 or 7/3.
Mixed fractions: Fractions that consist of a whole number and a proper fraction, such as 2 1/3 or 3 4/5.
Equivalent fractions: Fractions that represent the same value but have different numerators and denominators, such as 1/2 and 2/4.
A fraction consists of two main components:
Numerator: The numerator is the number above the fraction bar and represents the number of parts we have or are considering.
Denominator: The denominator is the number below the fraction bar and represents the total number of equal parts into which the whole is divided.
A decimal is a way of representing numbers that are not whole numbers or integers. It is based on powers of 10 and uses a decimal point to separate the whole number part from the fractional part. The symbol used to represent a decimal is a dot or period (.), placed after the whole number part.
A decimal consists of two main components:
Whole number part: The whole number part of a decimal is the part before the decimal point. It represents the whole or complete units.
Fractional part: The fractional part of a decimal is the part after the decimal point. It represents a part of a whole or a fraction.
There are several types of decimals, including:
Terminating decimals: Decimals that have a finite number of digits after the decimal point, such as 0.25 or 3.75.
Repeating decimals: Decimals that have a pattern of digits that repeat indefinitely after the decimal point, such as 0.333... or 1.2727....
Non-terminating decimals: Decimals that have an infinite number of non-repeating digits after the decimal point, such as π (pi) or √2 (square root of 2).
In the case of 1.2 as a fraction, it is a terminating decimal. When converted to a fraction, it becomes 6/5.