1.4 as a fraction

What does 1.4 as a fraction mean?

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.

What is the answer to 1.4 as a fraction? Give the answer first

The answer to 1.4 as a fraction is 7/5.

Is the answer a mixed fraction? Detailed explanation.

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.

Common problem-solving methods for 1.4 as a fraction.

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.

More than 3 solved examples about 1.4 as a fraction and detailed explanation.

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.

What do fractions mean in mathematics?

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.

What symbols are used to represent fractions?

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.

What types of fractions are there?

There are several types of fractions, including proper fractions, improper fractions, mixed fractions, and unit fractions.

• Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2 or 3/4.
• Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 5/4 or 7/3.
• Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 1/2 or 2 3/4.
• Unit fractions: These are fractions where the numerator is 1. For example, 1/2 or 1/3.

Components of 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.

What is a decimal? What symbol is used to represent a decimal?

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.

Components of decimals.

A decimal consists of two main components:

• Whole number part: This is the part of the decimal to the left of the decimal point. It represents the whole number value.
• Fractional part: This is the part of the decimal to the right of the decimal point. It represents the fractional or decimal value.

What are the types of decimals? Question: 1.4 as a fraction

There are several types of decimals, including terminating decimals, repeating decimals, and non-repeating decimals.

• Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.25 or 3.75.
• Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333... or 1.2727...
• Non-repeating decimals: These are decimals that do not have a repeating pattern of digits after the decimal point. For example, π (pi) or √2 (square root of 2).

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.