1.75 as a fraction

What does 1.75 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 1.75, it means finding a fraction that is equal to 1.75.

What is the answer to 1.75 as a fraction? Give the answer first

The answer to 1.75 as a fraction is 7/4.

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 1.75, it can be simplified to an improper fraction, which is 7/4.

Common problem-solving methods for 1.75 as a fraction.

To convert 1.75 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, 1.75 can be written as 1.75/1.

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, we can multiply both the numerator and denominator by 100 to eliminate the decimal point. This gives us 175/100.

Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 25. Simplifying gives us 7/4.

Step 4: Get the answer. The final answer is 7/4.

More than 3 solved examples about 1.75 as a fraction and detailed explanation.

Example 1: Convert 1.75 into a fraction.

Step 1: 1.75/1 Step 2: 175/100 Step 3: Simplifying by dividing both numerator and denominator by 25 gives us 7/4. Step 4: The answer is 7/4.

Example 2: Convert 1.75 into a fraction.

Step 1: 1.75/1 Step 2: 175/100 Step 3: Simplifying by dividing both numerator and denominator by 5 gives us 35/20. Step 4: The answer can be further simplified by dividing both numerator and denominator by 5, resulting in 7/4.

Example 3: Convert 1.75 into a fraction.

Step 1: 1.75/1 Step 2: 175/100 Step 3: Simplifying by dividing both numerator and denominator by 25 gives us 7/4. Step 4: The answer is 7/4.

What do fractions mean in mathematics?

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 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, representing a value less than one.
• Improper fractions: These are fractions where the numerator is equal to or greater than the denominator, representing a value equal to or greater than one.
• Mixed fractions: These are a combination of a whole number and a proper fraction.
• Unit fractions: These are fractions where the numerator is 1, representing a single part of a whole.

Components of fractions.

A fraction consists of two main components:

• Numerator: The numerator is the number above the fraction line and represents the number of parts we have.
• Denominator: The denominator is the number below the fraction line and represents the total number of equal parts in the whole.

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: The whole number part is the part of the decimal to the left of the decimal point. It represents the whole or integer value of the number.
• Fractional part: The fractional part is the part of the decimal to the right of the decimal point. It represents the value less than one or the decimal fraction.

What are the types of decimals? Question: 1.75 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 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-repeating decimals: These are decimals that do not have a repeating pattern of digits after the decimal point. For example, π (pi) is a non-repeating decimal.

In the case of 1.75, it is a terminating decimal because it has a finite number of digits after the decimal point.

Converting 1.75 into a fraction, we get 7/4.