When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 0.2, it means finding a fraction that is equal to 0.2.
The answer to 0.2 as a fraction is 1/5.
No, the answer 1/5 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. Since 1/5 is already in its simplest form, it cannot be expressed as a mixed fraction.
To convert 0.2 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. In this case, 0.2 can be written as 0.2/1.
Step 2: Convert the numerator into an integer. Multiply it by 10, 100, 1000, or any power of 10, and multiply the denominator by the same number. In this case, multiplying both the numerator and denominator by 10 gives us 2/10.
Step 3: Simplify the obtained fraction. In this case, we can simplify 2/10 by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives us 1/5.
Step 4: Get the answer. The simplified fraction 1/5 is the answer to 0.2 as a fraction.
Example 1: Convert 0.2 into a fraction.
Step 1: 0.2/1 Step 2: 2/10 Step 3: Simplify 2/10 by dividing both the numerator and denominator by 2. This gives us 1/5. Step 4: The answer is 1/5.
Example 2: Convert 0.2 into a fraction.
Step 1: 0.2/1 Step 2: 2/10 Step 3: Simplify 2/10 by dividing both the numerator and denominator by 2. This gives us 1/5. Step 4: The answer is 1/5.
Example 3: Convert 0.2 into a fraction.
Step 1: 0.2/1 Step 2: 2/10 Step 3: Simplify 2/10 by dividing both the numerator and denominator by 2. This gives us 1/5. Step 4: The answer is 1/5.
In all three examples, the decimal 0.2 is converted into the fraction 1/5.
In mathematics, fractions 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.
The symbols used to represent fractions are the numerator and the denominator. The numerator is the number above the fraction line, and it represents the part of the whole or the dividend. The denominator is the number below the fraction line, and it represents the whole or the divisor.
There are several types of fractions, including:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2 or 3/4.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4 or 7/3.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 1/2 or 2 3/4.
A fraction consists of two components:
Numerator: The numerator is the number above the fraction line. It represents the part of the whole or the dividend.
Denominator: The denominator is the number below the fraction line. It represents the whole or the divisor.
A decimal is a way of representing numbers that are not whole numbers or integers. It is based on the 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 a period (.), placed between the whole number and the fractional part.
A decimal consists of two components:
Whole number part: This is the part of the decimal to the left of the decimal point. It represents the whole number or the integer.
Fractional part: This is the part of the decimal to the right of the decimal point. It represents the fraction or the decimal fraction.
There are several types of decimals, including:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.5 or 0.75.
Repeating decimals: These are decimals that have a pattern of digits that repeat indefinitely after the decimal point. For example, 0.333... or 0.142857142857...
Non-terminating and non-repeating decimals: These are decimals that do not have a pattern and continue indefinitely without repeating. For example, π (pi) or √2 (square root of 2).
In the case of 0.2, it is a terminating decimal because it has a finite number of digits after the decimal point. When converted into a fraction, it becomes 1/5.