When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 5.5, it means finding an equivalent fraction that represents the decimal value of 5.5.
The answer to 5.5 as a fraction is 11/2.
Yes, the answer 11/2 is a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the whole number is 5 and the proper fraction is 1/2. So, 11/2 can be written as the mixed fraction 5 1/2.
To convert 5.5 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, 5.5 can be written as 5.5/1.
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 can multiply both the numerator and denominator by 10 to get 55/10.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 5. So, 55/10 simplifies to 11/2.
Step 4: Get the answer. The simplified fraction 11/2 is the answer to 5.5 as a fraction.
Example 1: Convert 5.5 into a fraction.
Step 1: 5.5/1
Step 2: (5.5 * 10) / (1 * 10) = 55/10
Step 3: Simplify 55/10 by dividing both numerator and denominator by 5. We get 11/2.
Answer: 5.5 as a fraction is 11/2.
Fractions in mathematics represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers or integers. Fractions allow us to represent values between whole numbers and provide a way to compare and perform operations on quantities that are not whole.
The symbols used to represent fractions are the fraction bar (/) and the division symbol (÷). The fraction bar is used to separate the numerator and denominator of a fraction, while the division symbol is used to indicate the division of two numbers.
There are several types of fractions in mathematics, including:
Proper fractions: Fractions where the numerator is smaller than the denominator, such as 1/2 or 3/4.
Improper fractions: Fractions where the numerator is equal to or greater than the denominator, such as 5/4 or 7/3.
Mixed fractions: Fractions that consist of a whole number and a proper fraction, such as 2 1/3 or 3 4/5.
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 bar and represents the number of parts we have or are considering.
Denominator: The denominator is the number below the fraction bar and represents the total number of equal parts into which the whole is divided.
A decimal is a way of representing numbers that are not whole 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.
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 integer value of the number.
Fractional part: The fractional part is the part of the decimal to the right of the decimal point. It represents the fraction or decimal value of the number.
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 3.75.
Repeating decimals: Decimals that have a repeating pattern of digits after the decimal point, such as 0.333... or 0.142857142857...
Non-terminating decimals: Decimals that have an infinite number of non-repeating digits after the decimal point, such as π (pi) or √2 (square root of 2).
In the case of 5.5, it is a terminating decimal because it has a finite number of digits after the decimal point.
In conclusion, 5.5 as a fraction is equal to 11/2, which is a mixed fraction consisting of a whole number (5) and a proper fraction (1/2). By following common problem-solving methods, we can convert 5.5 into a fraction. Fractions in mathematics represent parts of a whole or divisions of quantities, and they are represented using symbols like the fraction bar (/). There are different types of fractions, including proper fractions, improper fractions, mixed fractions, and equivalent fractions. Decimals, on the other hand, represent numbers that are not whole or integers and are divided into a whole number part and a fractional part. They can be terminating, repeating, or non-terminating decimals.