0.85/0.05 as a Fraction: Simplified and Explained
In mathematics, fractions are used to represent part of a whole. When dealing with decimals, it's often necessary to convert them to fractions to make calculations easier. In this article, we'll explore how to convert 0.85/0.05 to a fraction and simplify it.
Converting Decimals to Fractions
To convert a decimal to a fraction, we need to divide the decimal by the number of decimal places it has. In the case of 0.85, it has two decimal places, so we'll divide it by 100. Similarly, 0.05 has two decimal places, so we'll divide it by 100 as well.
Step 1: Convert 0.85 to a Fraction
0.85 = 85/100
Step 2: Convert 0.05 to a Fraction
0.05 = 5/100
Step 3: Simplify the Fractions
Now that we have both decimals converted to fractions, we can simplify them. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by the GCD.
Simplifying 85/100
The GCD of 85 and 100 is 5. Divide both the numerator and the denominator by 5:
85 ÷ 5 = 17 100 ÷ 5 = 20
So, 85/100 simplifies to 17/20.
Simplifying 5/100
The GCD of 5 and 100 is 5. Divide both the numerator and the denominator by 5:
5 ÷ 5 = 1 100 ÷ 5 = 20
So, 5/100 simplifies to 1/20.
Final Answer: 0.85/0.05 as a Fraction
Now that we have both fractions simplified, we can divide them:
17/20 ÷ 1/20 = 17/1 = 17
So, 0.85/0.05 as a fraction is equal to 17.
In conclusion, converting decimals to fractions and simplifying them can make calculations easier and more manageable. By following these steps, you can convert any decimal to a fraction and simplify it to its most basic form.
