When we have a decimal number like 0.16, expressing it as a fraction means representing it as a ratio of two integers. In other words, we want to find a fraction that is equivalent to the decimal 0.16.
The answer to 0.16 as a fraction is 16/100.
No, the answer 16/100 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the fraction 16/100 can be simplified to 4/25, which is a proper fraction but not a mixed fraction.
To convert 0.16 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, 0.16 can be written as 0.16/1.
Step 2: Convert the numerator into an integer by multiplying it by 100 (since there are two decimal places) and multiply the denominator by the same number. This gives us 16/100.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Simplifying gives us 4/25.
Step 4: Get the answer. The final answer is 4/25.
Example 1: Convert 0.16 into a fraction.
Solution: Following the steps mentioned above, we have 0.16/1. Multiplying both the numerator and denominator by 100 gives us 16/100. Simplifying this fraction by dividing both numbers by 4 gives us 4/25.
Example 2: Express 0.16 as a fraction in simplest form.
Solution: Again, we start with 0.16/1. Multiplying both the numerator and denominator by 100 gives us 16/100. Simplifying this fraction by dividing both numbers by 4 gives us 4/25, which is already in simplest form.
Example 3: Write 0.16 as a fraction with a denominator of 10.
Solution: To write 0.16 as a fraction with a denominator of 10, we multiply both the numerator and denominator by 10. This gives us 1.6/10. Simplifying this fraction by dividing both numbers by 0.1 gives us 16/100, which can be further simplified to 4/25.
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 denominator. The numerator is the number above the fraction line, and it represents the part of the whole or the dividend in a division. The denominator is the number below the fraction line, and it represents the whole or the divisor in a division.
There are several types of fractions, including:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 3/4 is a proper fraction.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4 is an improper fraction.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 3/4 is a mixed fraction.
Equivalent fractions: These are fractions that represent the same value but have different numerators and denominators. For example, 1/2 and 2/4 are equivalent fractions.
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 in a division.
Denominator: The denominator is the number below the fraction line. It represents the whole or the divisor in a division.
A decimal is a number that represents a fraction or a part of a whole. It is written using a decimal point and digits after the decimal point. The symbol used to represent a decimal is a dot or a period (.), placed between the whole number part and the fractional part.
A decimal consists of two components:
Whole number part: This is the part of the decimal before the decimal point. It represents the whole number or the integer value.
Fractional part: This is the part of the decimal after the decimal point. It represents the fraction or the decimal value.
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, 0.25 is a terminating decimal.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333... is a repeating decimal.
Non-terminating and non-repeating decimals: These are decimals that neither terminate nor have a repeating pattern. For example, π (pi) is a non-terminating and non-repeating decimal.
In the case of 0.16, it is a terminating decimal because it has a finite number of digits after the decimal point. To convert it into a fraction, we follow the steps mentioned earlier, which gives us the answer 4/25.