Understanding 1.08 As A Fraction: Converting The Decimal To Its Fractional Form. In the realm of mathematics, numbers can be represented in various ways, including fractions, decimals, and percentages. Each representation has its significance and purpose in different mathematical operations. In this blog post, we will delve into the conversion of 1.08, a decimal often encountered in calculations, into its fractional form. By understanding how to express 1.08 as a fraction, we can effectively use it in mathematical equations and comparisons.
The Basics: What Is A Fraction?
Before exploring the conversion of 1.08 into a fraction, let’s start with a quick overview of what a fraction entails. A fraction represents a part of a whole or a ratio between two quantities. It consists of a numerator and a denominator, separated by a horizontal line known as the fraction bar.
Converting 1.08 Into A Fraction
To convert a decimal into a fraction, it is essential to understand the decimal place value. In the case of 1.08, the number is read as one whole and eight hundredths. The decimal point separates the whole number part from the fractional part.
To express 1.08 as a fraction, follow these steps:
Step 1: Let x be the given decimal (1.08).
Step 2: Multiply both sides of the equation by 100 (to remove the decimal point): 100x = 108.
Step 3: Simplify the equation if possible. In this case, 108 is divisible by 4: 100x = 108 ÷ 4 = 27.
Step 4: Divide both sides of the equation by 100: x = 27 ÷ 100.
Step 5: Simplify the fraction (if necessary) to its lowest terms: x = 27/100.
Therefore, 1.08 as a fraction is 27/100.
Simplifying 27/100
Now that we have expressed 1.08 as a fraction (27/100), let’s simplify it further. Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.
In the case of 27/100, the GCD of 27 and 100 is 1. By dividing both the numerator and the denominator by 1, the fraction remains the same.
Therefore, 27/100 is already in its simplest form.
Converting 27/100 To A Mixed Number Or Decimal
While 27/100 is a fraction, it can also be represented as a mixed number or a decimal.
To convert 27/100 to a mixed number, divide the numerator (27) by the denominator (100). The quotient becomes the whole number part, and the remainder (if any) becomes the numerator of the fractional part. In this case, the division results in 0.27, which can be written as 27/100.
To convert 27/100 to a decimal, divide the numerator (27) by the denominator (100). The division yields 0.27. Hence, the decimal representation of 27/100 is 0.27.
Conclusion
Understanding different number representations is crucial in mathematics. By converting decimals to fractions, we can work with numbers in various contexts. In the case of 1.08, it can be expressed as 27/100. Remember that fractions can be simplified to their simplest form, and in this case, 27/100 is already in its simplest form. By mastering these concepts, we enhance our mathematical skills and become more proficient in solving equations and analyzing numerical relationships.
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FAQ
What’s 1.09 As A Fraction?
1.09 as a fraction is 109/100.
What Would The Decimal 1.08 Be As A Percent?
To convert 1.08 into a percent, multiply the decimal by 100. Since multiplying by 100 moves the decimal point 2 spaces to the right, 1.08 times 100 equals 108. Therefore, the equivalent percentage is 108%.
What Is 1.06 As A Fraction?
1.06 as a fraction is 53/50.
What Is 1.075 As A Simplified Fraction?
1.075 as a fraction is 43/40.
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