When we have a decimal number like 0.15, expressing it as a fraction means representing it as a ratio of two integers. In other words, we want to find a fraction that is equivalent to the decimal 0.15.
The answer to 0.15 as a fraction is 15/100.
No, the answer 15/100 is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the fraction 15/100 is already in its simplest form, and it does not have a whole number component.
To convert 0.15 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. In this case, 0.15 can be written as 0.15/1.
Step 2: Convert the numerator into an integer by multiplying it by 100. Multiply the denominator by the same number. This gives us 15/100.
Step 3: Simplify the obtained fraction. In this case, the fraction 15/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5. Simplifying gives us 3/20.
Step 4: Get the answer. The final answer is 3/20.
Example 1: Convert 0.15 into a fraction.
Step 1: 0.15/1 Step 2: 15/100 Step 3: Simplify by dividing both numerator and denominator by 5. 15 ÷ 5 / 100 ÷ 5 = 3/20 Step 4: The answer is 3/20.
Example 2: Convert 0.15 into a fraction.
Step 1: 0.15/1 Step 2: 15/100 Step 3: Simplify by dividing both numerator and denominator by 5. 15 ÷ 5 / 100 ÷ 5 = 3/20 Step 4: The answer is 3/20.
Example 3: Convert 0.15 into a fraction.
Step 1: 0.15/1 Step 2: 15/100 Step 3: Simplify by dividing both numerator and denominator by 5. 15 ÷ 5 / 100 ÷ 5 = 3/20 Step 4: The answer is 3/20.
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 the denominator. The numerator is the number above the fraction line, and it represents the part of the whole or the dividend. The denominator is the number below the fraction line, and it represents the whole or the divisor.
There are several types of fractions:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 3/4 is a proper fraction.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4 is an improper fraction.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 3/4 is a mixed fraction.
A fraction consists of two components:
Numerator: The numerator is the number above the fraction line. It represents the part of the whole or the dividend.
Denominator: The denominator is the number below the fraction line. It represents the whole or the divisor.
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.
A decimal consists of two 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.
Fractional part: This is the part of the decimal to the right of the decimal point. It represents the fraction or the decimal fraction.
There are several types of decimals:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.25 is a terminating decimal.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333... is a repeating decimal.
Non-terminating and non-repeating decimals: These are decimals that do not have a repeating pattern and continue indefinitely without terminating. For example, π (pi) is a non-terminating and non-repeating decimal.
In the case of 0.15, it is a terminating decimal because it has a finite number of digits after the decimal point. When converted to a fraction, it becomes 15/100, which can be simplified to 3/20.