When we write 0.9 as a fraction, it means we are expressing the decimal number 0.9 as a ratio of two integers. In other words, we want to find an equivalent fraction for the decimal 0.9.
The answer to 0.9 as a fraction is 9/10.
No, the answer 9/10 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. Since 9/10 is already in its simplest form, it cannot be expressed as a mixed fraction.
To convert 0.9 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, 0.9 can be written as 0.9/1.
Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, or any power of 10, and multiply the denominator by the same number. In this case, we multiply both the numerator and denominator by 10, resulting in 9/10.
Step 3: Simplify the obtained fraction. In this case, 9/10 is already in its simplest form, so no further simplification is needed.
Step 4: Get the answer. The answer to 0.9 as a fraction is 9/10.
Example 1: Convert 0.9 to a fraction.
Solution: Following the steps mentioned above, we can write 0.9 as 9/10.
Example 2: Express 0.9 as a fraction in simplest form.
Solution: Since 0.9 is already in its simplest form, we can write it as 9/10.
Example 3: Convert 0.9 to a fraction with a denominator of 100.
Solution: To convert 0.9 to a fraction with a denominator of 100, we multiply both the numerator and denominator by 100. This gives us 90/100. Simplifying this fraction, we get 9/10.
Example 4: Write 0.9 as a fraction in lowest terms.
Solution: As 0.9 is already in its simplest form, we can write it as 9/10.
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 consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line).
The symbols used to represent fractions are the fraction bar (/) and the division slash (÷). The fraction bar is commonly used, such as in 9/10, to represent the division of the numerator by the denominator. The division slash is used less frequently but still represents the same concept, as in 9 ÷ 10.
There are several types of fractions, including:
Proper fractions: Fractions where the numerator is smaller than the denominator, such as 3/4 or 5/8.
Improper fractions: Fractions where the numerator is equal to or greater than the denominator, such as 7/4 or 9/8.
Mixed fractions: A combination of a whole number and a proper fraction, such as 2 3/4 or 1 5/8.
Equivalent fractions: Fractions that represent the same value but have different numerators and denominators, such as 1/2 and 2/4.
A fraction consists of two main components:
Numerator: The numerator is the number above the fraction line and represents the part or quantity being considered.
Denominator: The denominator is the number below the fraction line and represents the total number of equal parts into which the whole is divided.
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 period (.), placed between the whole number and the fractional part.
For example, in the decimal 0.9, the dot separates the whole number 0 from the fractional part 9.
Decimals consist of two main components:
Whole number part: The whole number part of a decimal is the part to the left of the decimal point. In the decimal 0.9, the whole number part is 0.
Fractional part: The fractional part of a decimal is the part to the right of the decimal point. In the decimal 0.9, the fractional part is 9.
There are several types of decimals, including:
Terminating decimals: Decimals that have a finite number of digits after the decimal point, such as 0.25 or 0.75.
Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point, such as 0.333... or 0.8181...
Non-terminating decimals: Decimals that do not have a finite number of digits after the decimal point and do not have a repeating pattern, such as π (pi) or √2 (square root of 2).
In the case of 0.9, it is a terminating decimal because it has a finite number of digits after the decimal point. When converted to a fraction, it becomes 9/10.