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