A fraction can be used to represent a decimal expression, such as 0.95 as a fraction. The conversion of decimals to fractions involves transforming the decimal into an equivalent fraction with a denominator that is a power of 10. In this instance, multiplying 0.95 by 100 gives us 95/100. This fraction can then be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5. The result is 19/20.
It's worth mentioning that decimals and fractions can both depict the same quantity and the choice between the two depends on the specific scenario. For instance, fractions may be more useful in certain situations such as measurements or ratios, while decimals are more frequently used in financial and computational contexts. In this article we will discuss the conversion of 0.95 as a fraction.
What is a fraction?
A fraction is a mathematical expression that describes a portion of a whole number. It consists of two elements, the numerator and the denominator, which are separated by a slash ( / ). The numerator represents the number of parts of the whole that are being considered, while the denominator is the number of equal parts into which the whole has been divided. Knowing about fraction is important in order to know 0.95 as a fraction conversion.
Fractions can be manipulated using arithmetic operations, such as addition, subtraction, multiplication, and division. They can also be simplified by dividing both the numerator and denominator by their greatest common divisor, which is the largest number that evenly divides both. This results in a fraction in its simplest form, which makes it easier to compare and comprehend. Keep reading to find out more about 0.95 as a fraction.
What is a decimal?
Decimals are a form of numerical representation that provide more detail than whole numbers. They are indicated using a decimal point ( . ), which separates the whole number component from the fractional component. The decimal point and the digits following it represent a fraction of a whole number. For example, 0.25 is a decimal that expresses the fraction 25/100 or a quarter of a whole number.
Decimals are extensively used in mathematical and computational contexts, particularly for representing quantities that cannot be expressed as whole numbers, such as monetary values and measurements. Decimals can be converted to fractions or percentages and can also be transformed back and forth. Keep reading to know how to convert 0.95 as a fraction.
Calculation of 0.95 as a fraction
Step 1
The first step to convert 0.95 as a fraction is to re-write 0.95 in the form p/q in which p and q both are positive integers. To begin with, 0.95 can be stated as simply 0.95/1 to be written as a fraction.
Step 2
Next, we will calculate the number of fractional digits in 0.95, which in this instance is 2. The denominator and numerator of 0.95/1 will be multiplied by 10 to the power of the number of digits following the decimal point, no matter how many there are. For example, we would multiply 0.45 by 100 as it has two fractional digits, and we would multiply 0.324 by 1000 since it has three fractional digits. We will therefore multiply the numerator and denominator of 0.95/1 by 100 in this instance:
1×100 / 0.95×100 = 100 / 95
Step 3
The fraction must now be simplified as a last step by identifying and reducing similar factors:
100 / 95 = 20 / 19
No comments yet