When we have a decimal number, such as 0.1875, expressing it as a fraction means representing it as a ratio of two integers. In this case, we want to find the fraction that is equivalent to 0.1875.
The answer to 0.1875 as a fraction is 3/16.
No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the fraction 3/16 is already in its simplest form and cannot be further simplified. Therefore, it is not a mixed fraction.
To convert 0.1875 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, 0.1875 can be written as 0.1875/1.
Step 2: Convert the numerator into an integer. To do this, we multiply both the numerator and denominator by 10000 (since there are four decimal places in 0.1875). This gives us 1875/10000.
Step 3: Simplify the obtained fraction. We can simplify 1875/10000 by dividing both the numerator and denominator by their greatest common divisor, which is 125. This simplifies the fraction to 3/16.
Step 4: Get the answer. The final answer is 3/16.
Example 1: Convert 0.1875 into a fraction.
Solution: Following the steps mentioned above, we can convert 0.1875 into a fraction as 3/16.
Example 2: Convert 0.1875 into a fraction.
Solution: Again, following the steps mentioned above, we can convert 0.1875 into a fraction as 3/16.
Example 3: Convert 0.1875 into a fraction.
Solution: By applying the same steps, we can convert 0.1875 into a fraction as 3/16.
In all these examples, we can see that the decimal 0.1875 can be represented as the fraction 3/16.
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 represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
For example, in the fraction 3/4, 3 is the numerator, and 4 is the denominator.
There are several types of fractions, including:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2, 3/4, etc.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4, 7/3, etc.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 1/2, 2 3/4, etc.
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 main components:
Numerator: The numerator is the number above the fraction line. It represents the number of parts we have or the quantity being considered.
Denominator: The denominator is the number below the fraction line. It represents the total number of equal parts in 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.
For example, in the decimal 3.14, 3 is the whole number part, and 14 is the fractional part.
A decimal consists of two main 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 value.
Fractional part: This is the part of the decimal to the right of 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, 0.5, 0.25, etc.
Repeating decimals: These are decimals that have a pattern of digits that repeat indefinitely after the decimal point. For example, 0.333..., 0.142857..., etc.
Non-terminating and non-repeating decimals: These are decimals that do not have a pattern and continue indefinitely without repeating. For example, π (pi) = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...
In the case of 0.1875, it is a terminating decimal because it has a finite number of digits after the decimal point.