When we write a decimal number like 0.45 as a fraction, we are expressing it as a ratio of two integers. In this case, 0.45 as a fraction means that we want to find the equivalent fraction of the decimal number 0.45.
The answer to 0.45 as a fraction is 9/20.
No, the answer 9/20 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. Since 9/20 is already in its simplest form, it cannot be expressed as a mixed fraction.
To convert 0.45 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;
Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, and multiply the denominator by the same number;
Step 3: Simplify the obtained fraction;
Step 4: Get the answer;
Example 1: 0.45 as a fraction can be written as 45/100. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5, we get 9/20.
Example 2: 0.45 as a fraction can also be written as 450/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 50, we get 9/20.
Example 3: 0.45 as a fraction can be written as 4.5/10. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 0.5, we get 9/20.
These examples show that no matter how the decimal is written, the fraction equivalent of 0.45 is always 9/20.
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, improper fractions, mixed fractions, and equivalent fractions.
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2, 3/4, and 5/8 are proper fractions.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 7/4, 9/3, and 11/2 are improper fractions.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 1/2, 2 3/4, and 3 5/8 are mixed fractions.
Equivalent fractions: These are fractions that represent the same value but have different numerators and denominators. For example, 1/2, 2/4, and 3/6 are equivalent fractions.
A fraction consists of two main 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.
For example, in the fraction 3/5, 3 is the numerator, and 5 is the denominator.
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: The whole number part is the part of the decimal to the left of the decimal point. It represents the whole or the integer value.
Fractional part: The fractional part is the part of the decimal to the right of the decimal point. It represents the part of the whole or the decimal value.
For example, in the decimal 3.14, 3 is the whole number part, and 14 is the fractional part.
There are several types of decimals, including terminating decimals, repeating decimals, and non-terminating non-repeating decimals.
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.25, 0.75, and 1.5 are terminating decimals.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333..., 0.666..., and 0.1212... are repeating decimals.
Non-terminating non-repeating decimals: These are decimals that do not have a repeating pattern of digits and do not terminate. For example, π (pi) = 3.1415926535... and √2 (square root of 2) = 1.4142135623... are non-terminating non-repeating decimals.
In the case of 0.45, it is a terminating decimal because it has a finite number of digits after the decimal point.