When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 3.6, it means finding a fraction that is equivalent to the decimal value 3.6.
The answer to 3.6 as a fraction is 18/5.
No, the answer 18/5 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. For example, 3 1/2 is a mixed fraction. In the case of 18/5, it is an improper fraction because the numerator (18) is greater than the denominator (5).
To convert 3.6 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, 3.6 can be written as 3.6/1.
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 rid of the decimal point. This gives us 36/10.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 2. This simplifies the fraction to 18/5.
Step 4: Get the answer. The simplified fraction 18/5 is the answer to 3.6 as a fraction.
Example 1: Convert 3.6 into a fraction.
Step 1: 3.6/1
Step 2: 36/10 (multiply numerator and denominator by 10)
Step 3: Simplify by dividing both numerator and denominator by 2: 18/5
Answer: 3.6 as a fraction is 18/5.
Example 2: Convert 3.6 into a fraction.
Step 1: 3.6/1
Step 2: 36/10 (multiply numerator and denominator by 10)
Step 3: Simplify by dividing both numerator and denominator by 2: 18/5
Answer: 3.6 as a fraction is 18/5.
Example 3: Convert 3.6 into a fraction.
Step 1: 3.6/1
Step 2: 36/10 (multiply numerator and denominator by 10)
Step 3: Simplify by dividing both numerator and denominator by 2: 18/5
Answer: 3.6 as a fraction is 18/5.
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 fraction bar (/) and the division symbol (÷). The fraction bar is used to separate the numerator and denominator, while the division symbol is used to indicate the division operation between the numerator and denominator.
There are several types of fractions in mathematics, including:
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 10/2 are improper fractions.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 2 1/2, 3 3/4, and 4 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 bar. It represents the number of parts we have or the quantity being considered.
Denominator: The denominator is the number below the fraction bar. It represents the total number of equal parts into which the whole is divided or the size of each part.
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.
A decimal consists of two main components:
Whole number part: This is the part of the decimal to the left of the decimal point. It represents the whole number or the integer value.
Fractional part: This is the part of the decimal to the right of the decimal point. It represents the fraction or the decimal value.
There are several types of decimals, including:
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 pattern of digits that repeat indefinitely after the decimal point. For example, 0.333..., 0.666..., and 0.1212... are repeating decimals.
Non-terminating decimals: These are decimals that do not have a finite number of digits after the decimal point and do not repeat in a pattern. For example, π (pi) = 3.1415926535... is a non-terminating decimal.
In the case of 3.6, it is a terminating decimal because it has a finite number of digits after the decimal point.
To convert 3.6 into a fraction, we follow the common problem-solving methods mentioned earlier:
Step 1: 3.6/1
Step 2: 36/10 (multiply numerator and denominator by 10)
Step 3: Simplify by dividing both numerator and denominator by 2: 18/5
Answer: 3.6 as a fraction is 18/5.