When we express a decimal number as a fraction, we are essentially representing it as a ratio of two integers. In the case of 1.4, it means finding an equivalent fraction that represents the value of 1.4.
The answer to 1.4 as a fraction is 7/5.
No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In the case of 1.4, it can be simplified to 7/5, which is an improper fraction. To convert it into a mixed fraction, we divide the numerator (7) by the denominator (5). The quotient is 1, and the remainder is 2. So, the mixed fraction form of 1.4 is 1 2/5.
To convert 1.4 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. So, 1.4 can be written as 1.4/1.
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, multiplying both the numerator and denominator by 10 gives us 14/10.
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 gives us 7/5.
Step 4: Get the answer. The final answer is 7/5.
Example 1: Convert 1.4 into a fraction.
Step 1: 1.4/1 Step 2: 14/10 Step 3: Simplify by dividing both numerator and denominator by 2. 14/10 simplifies to 7/5. Step 4: The answer is 7/5.
Example 2: Convert 1.4 into a fraction.
Step 1: 1.4/1 Step 2: 14/10 Step 3: Simplify by dividing both numerator and denominator by 2. 14/10 simplifies to 7/5. Step 4: The answer is 7/5.
Example 3: Convert 1.4 into a fraction.
Step 1: 1.4/1 Step 2: 14/10 Step 3: Simplify by dividing both numerator and denominator by 2. 14/10 simplifies to 7/5. Step 4: The answer is 7/5.
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 quantities that are not whole.
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 main components:
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:
There are several types of decimals, including terminating decimals, repeating decimals, and non-repeating decimals.
In the case of 1.4, it is a terminating decimal because it has a finite number of digits after the decimal point.
In conclusion, 1.4 as a fraction is equal to 7/5. It is not a mixed fraction but can be simplified to 1 2/5. Converting decimals to fractions involves converting the decimal into a fraction with a denominator of 1, simplifying the fraction, and obtaining the final answer. Fractions represent parts of a whole or divisions of quantities in mathematics and are represented by the numerator and denominator. Decimals, on the other hand, represent numbers that are not whole or integers and are based on the powers of 10. They consist of a whole number part and a fractional part. There are different types of decimals, including terminating, repeating, and non-repeating decimals.