When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 2.4, it means finding an equivalent fraction that represents the value of 2.4.
The answer to 2.4 as a fraction is 12/5.
No, the answer 12/5 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 12/5, it is an improper fraction because the numerator (12) is greater than the denominator (5).
To convert 2.4 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, 2.4 can be written as 2.4/1.
Step 2: Convert the numerator into an integer. Multiply it by 10, 100, 1000, or any power of 10, depending on the number of decimal places. Multiply the denominator by the same number. In this case, multiplying both the numerator and denominator by 10 gives us 24/10.
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. Simplifying 24/10 gives us 12/5.
Step 4: Get the answer. The final answer is 12/5.
Example 1: Convert 2.4 into a fraction.
Step 1: 2.4/1 Step 2: 24/10 Step 3: Simplify by dividing both numerator and denominator by 2: 12/5 Step 4: The answer is 12/5.
Example 2: Convert 2.4 into a fraction.
Step 1: 2.4/1 Step 2: 24/10 Step 3: Simplify by dividing both numerator and denominator by 2: 12/5 Step 4: The answer is 12/5.
Example 3: Convert 2.4 into a fraction.
Step 1: 2.4/1 Step 2: 24/10 Step 3: Simplify by dividing both numerator and denominator by 2: 12/5 Step 4: The answer is 12/5.
In all three examples, the decimal 2.4 is converted into the fraction 12/5.
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 these values.
In mathematics, fractions are represented using the forward slash (/) symbol. The numerator, which represents the number of parts we have, is written above the slash, and the denominator, which represents the total number of equal parts, is written below the slash. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
There are several types of fractions in mathematics:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 2/5 is a proper fraction.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 7/4 is an improper fraction.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 3 1/2 is a mixed fraction.
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 all equivalent fractions.
A fraction consists of two main components:
Numerator: The numerator is the number above the slash (/) symbol in a fraction. It represents the number of parts we have or the quantity being considered.
Denominator: The denominator is the number below the slash (/) symbol in a fraction. It represents the total number of equal parts 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 period (.), commonly known as a decimal point.
A decimal consists of two main components:
Whole number part: The whole number part of a decimal is the part before the decimal point. It represents the whole or complete units.
Fractional part: The fractional part of a decimal is the part after the decimal point. It represents a fraction of a whole unit.
There are several types of decimals:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.75 is a terminating decimal.
Repeating decimals: These are decimals that have a pattern of digits that repeat indefinitely after the decimal point. For example, 0.333... is a repeating decimal.
Non-terminating and non-repeating decimals: These are decimals that neither terminate nor have a repeating pattern. They continue indefinitely without any predictable pattern. For example, π (pi) is a non-terminating and non-repeating decimal.
In the case of 2.4, it is a terminating decimal because it has a finite number of digits after the decimal point.
Converting 2.4 into a fraction:
Step 1: 2.4/1 Step 2: Multiply numerator and denominator by 10: 24/10 Step 3: Simplify by dividing both numerator and denominator by 2: 12/5 Step 4: The answer is 12/5.
Therefore, 2.4 as a fraction is 12/5, which is an improper fraction.