When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 6.25, it means finding an equivalent fraction that represents the decimal value of 6.25.
The answer to 6.25 as a fraction is 25/4.
Yes, the answer 25/4 is a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the whole number is 6 and the proper fraction is 1/4. So, 25/4 can be written as the mixed fraction 6 1/4.
To convert 6.25 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, 6.25 can be written as 6.25/1.
Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, and multiply the denominator by the same number. In this case, we multiply both the numerator and denominator by 100 to eliminate the decimal point. This gives us 625/100.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 25. Simplifying gives us 25/4.
Step 4: Get the answer. The final answer is 25/4.
Example 1: Convert 6.25 into a fraction.
Step 1: 6.25/1 Step 2: 625/100 Step 3: Simplifying by dividing both numerator and denominator by 25 gives us 25/4. Step 4: The answer is 25/4.
Example 2: Convert 6.25 into a fraction.
Step 1: 6.25/1 Step 2: 625/100 Step 3: Simplifying by dividing both numerator and denominator by 5 gives us 125/20. Step 4: The answer is 125/20.
Example 3: Convert 6.25 into a fraction.
Step 1: 6.25/1 Step 2: 625/100 Step 3: Simplifying by dividing both numerator and denominator by 125 gives us 5/4. Step 4: The answer is 5/4.
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 denominator. The numerator is the number above the fraction line, and it represents the number of parts we have. The denominator is the number below the fraction line, and it represents the total number of equal parts in the whole.
There are several types of fractions in mathematics:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2, 3/4, etc.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4, 7/3, etc.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 2 1/2, 3 3/4, etc.
Equivalent fractions: These are fractions that represent the same value but have different numerators and denominators. For example, 1/2 and 2/4 are equivalent fractions.
A fraction consists of two main components:
Numerator: The numerator is the number above the fraction line. It represents the number of parts we have or the quantity being considered.
Denominator: The denominator is the number below the fraction line. It represents the total number of equal parts in the whole or the divisor.
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: This is the part of the decimal that appears before the decimal point. It represents the whole or integer value of the number.
Fractional part: This is the part of the decimal that appears after the decimal point. It represents the fraction or decimal value of the number.
There are several types of decimals:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.5, 0.75, etc.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333..., 0.666..., etc.
Non-terminating and non-repeating decimals: These are decimals that do not have a pattern and continue indefinitely without repeating. For example, π (pi) = 3.1415926535..., √2 (square root of 2) = 1.4142135623..., etc.
In the case of 6.25, it is a terminating decimal because it has a finite number of digits after the decimal point.