When we have a decimal number like 0.4375, 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 value.
The answer to 0.4375 as a fraction is 7/16.
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 7/16 is already in its simplest form and cannot be further simplified. Therefore, it is not necessary to express it as a mixed fraction.
To convert 0.4375 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, 0.4375 can be written as 0.4375/1.
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. This step is done to eliminate the decimal point. In this case, multiplying both the numerator and denominator by 10000 gives us 4375/10000.
Step 3: Simplify the obtained fraction. In this case, both the numerator and denominator have a common factor of 125. Dividing both by 125 gives us 35/80.
Step 4: Get the answer. Further simplifying the fraction by dividing both the numerator and denominator by 5 gives us the final answer of 7/16.
Example 1: Convert 0.4375 into a fraction.
Step 1: 0.4375/1 Step 2: 4375/10000 Step 3: Simplifying by dividing both numerator and denominator by 125 gives us 35/80. Step 4: Further simplifying by dividing both numerator and denominator by 5 gives us the final answer of 7/16.
Example 2: Convert 0.4375 into a fraction.
Step 1: 0.4375/1 Step 2: 4375/10000 Step 3: Simplifying by dividing both numerator and denominator by 625 gives us 7/16.
Example 3: Convert 0.4375 into a fraction.
Step 1: 0.4375/1 Step 2: 4375/10000 Step 3: Simplifying by dividing both numerator and denominator by 1250 gives us 7/16.
In all three examples, we end up with the same fraction 7/16, which is the answer to 0.4375 as a fraction.
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 forward slash (/) symbol or a horizontal line. The numerator, which represents the number of parts being considered, is written above the line, and the denominator, which represents the total number of equal parts, is written below the line.
There are several types of fractions, including proper fractions, improper fractions, mixed fractions, and unit fractions.
A fraction consists of two main components:
A decimal is a way of representing numbers using a base-10 numbering system. It includes a decimal point, which separates the whole number part from the fractional part. Decimals can be finite, where the digits end after a certain point, or they can be infinite, where the digits continue indefinitely.
In mathematics, decimals are represented using the decimal point (.) symbol.
Decimals consist of two main components:
There are several types of decimals, including terminating decimals, repeating decimals, and non-terminating non-repeating decimals.
In the case of 0.4375, it is a terminating decimal because it has a finite number of digits after the decimal point.