Are you curious to know what is 1.75 as a fraction? You have come to the right place as I am going to tell you everything about 1.75 as a fraction in a very simple explanation. Without further discussion let’s begin to know what is 1.75 as a fraction?
What Is 1.75 As A Fraction?
Decimals are a common way to represent numbers in our everyday lives, especially when dealing with measurements, money, or parts of a whole. However, when you encounter a decimal like 1.75, you might wonder how to express it as a fraction. In this blog, we will explore the process of converting the decimal 1.75 into a fraction, providing a clear explanation of the steps involved.
Understanding Decimal Numbers
Before we delve into converting 1.75 into a fraction, it’s essential to grasp the basics of decimal numbers. Decimal numbers are a way of expressing parts of a whole, with the decimal point serving as the separator between the whole number and its fractional part.
In the case of 1.75, the digit 1 represents the whole number, and the digits 75 represent the fractional part. The decimal point indicates that 75 is in the hundredths place, meaning it’s 75/100 or simply 75 percent of one whole.
Converting 1.75 Into A Fraction
To convert 1.75 into a fraction, you can follow these steps:
Step 1: Identify the Whole Number
In 1.75, the whole number is 1. This is the number before the decimal point.
Step 2: Convert the Decimal Part into a Fraction
The decimal part, .75, needs to be converted into a fraction. To do this, you can follow these steps:
a) Identify the place value of the last digit. In this case, it’s in the hundredths place.
b) Write down the decimal number as a fraction with the last digit in the numerator and the place value as the denominator. So, .75 becomes 75/100.
Step 3: Simplify the Fraction
Now that you have both the whole number and the fractional part as a fraction, you can simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it. In this case, the GCF of 75 and 100 is 25.
Dividing both the numerator and denominator by 25, you get:
75 ÷ 25 = 3
100 ÷ 25 = 4
So, 75/100 simplifies to 3/4.
Step 4: Combine the Whole Number and Fraction
Finally, combine the whole number and the simplified fraction. In this case, 1.75 as a fraction is expressed as:
1 + 3/4 = 1 3/4
Conclusion
Converting decimals into fractions, as demonstrated with the example of 1.75, is a straightforward process once you understand the fundamentals of decimal numbers. By identifying the whole number, converting the decimal part into a fraction, simplifying the fraction, and then combining the two, you can easily express decimal numbers as fractions. In this case, 1.75 can be represented as 1 3/4 when expressed as a mixed number. This conversion process is valuable in various mathematical and real-world applications, making it an essential skill to master.
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FAQ
Is 1.75 The Same As 7 4?
7/4 as a decimal is 1.75
How Do You Turn 1.74 Into A Fraction?
1.74 as a fraction is 87/50
- The first step to converting 1.74 to a fraction is to re-write 1.74 in the form p/q where p and q both are positive integers. …
- Next, we will count the number of fractional digits after the decimal point in 1.74, which in this case is 2.
What Is Half Of 1.75 As A Fraction?
In this case, 1 3/4 equals 1.75 as a decimal. Half of 1.75 is 0.875, or 7/8 as a fraction.
What Is 1.75 As A Decimal As A Percent?
Converting 1.75 into a percentage gives us 175%. The process of finding this answer is described below. Converting a whole number with a decimal into a percentage requires the same process as converting a decimal into a percentage. We multiply it by 100 and add a percentage symbol.
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