Can somebody show or explain this to me:
Change 6 2/3% to fraction and .6 1/3 to a decimal or fraction.
6 2/3% = (6 2/3)/100 = 6.6666/100 = 0.066666...
.6 1/3 is not a valid mixed number
Certainly! I'd be happy to explain how to convert percentages to fractions and decimals.
To convert a percentage to a fraction, follow these steps:
Step 1: Divide the percentage value by 100. This will give you the decimal form.
Step 2: Simplify the decimal by canceling out any common factors between the numerator and denominator.
Step 3: Express the decimal as a fraction by placing the decimal value as the numerator and 1 as the denominator.
Let's work through the first conversion you asked for:
Converting 6 2/3% to a fraction:
Step 1: Divide 6 2/3 by 100:
6 2/3 ÷ 100 = 20/3 ÷ 100 = 20/3 ÷ 100/1 = 20/300
Step 2: Simplify the fraction:
20/300 can be reduced by dividing both the numerator and denominator by their common factor, which is 20:
20/300 ÷ 20/20 = 1/15
So, 6 2/3% can be expressed as the fraction 1/15.
Now, let's move on to converting .6 1/3 to a decimal or fraction.
When you have a decimal and a fraction together, you can determine the decimal by adding the decimal value to the fraction.
Converting .6 1/3 to a decimal:
Step 1: Add the decimal value to the fraction:
.6 + 1/3 = 0.6 + 1/3 = 0.6 + 0.333... (recurring decimal of 1/3) = 0.933...
In decimal form, .6 1/3 is approximately 0.933.
I hope this explanation helps you understand how to convert percentages to fractions and decimals. If you have any more questions, feel free to ask!