When we write a decimal number as a fraction, it means expressing the decimal value as a ratio of two integers. In the case of 0.3125, it means finding the fraction that is equivalent to this decimal value.
The answer to 0.3125 as a fraction is 5/16.
No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In the case of 5/16, it is a proper fraction where the numerator is smaller than the denominator.
To convert 0.3125 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, 0.3125 can be written as 0.3125/1.
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 can multiply both the numerator and denominator by 10000 to eliminate the decimal point. This gives us 3125/10000.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 125. This simplifies the fraction to 25/64.
Step 4: Get the answer. The final answer is 25/64.
Example 1: Convert 0.3125 into a fraction.
Solution: Following the steps mentioned above, we can convert 0.3125 into a fraction as 25/64.
Example 2: Convert 0.3125 into a fraction.
Solution: Using the same steps, we can convert 0.3125 into a fraction as 25/64.
Example 3: Convert 0.3125 into a fraction.
Solution: By applying the steps mentioned earlier, we can convert 0.3125 into a fraction as 25/64.
Fractions in mathematics 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 represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
There are several types of fractions, including proper fractions, improper fractions, mixed fractions, and unit fractions.
A fraction consists of two components: the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
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.
Decimals consist of two components: the whole number part and the fractional part. The whole number part represents the whole units, while the fractional part represents the part of a whole.
There are several types of decimals, including terminating decimals, repeating decimals, and non-terminating non-repeating decimals.
In the case of 0.3125, it is a terminating decimal as it has a finite number of digits after the decimal point.