3/80 as a percentage
Understand the Problem
The question is asking how to convert the fraction 3/80 into a percentage. To convert a fraction to a percentage, we multiply it by 100.
Answer
$3.75\%$
Answer for screen readers
The equivalent percentage of the fraction $\frac{3}{80}$ is $3.75%$.
Steps to Solve
- Identify the fraction to convert
We have the fraction $\frac{3}{80}$.
- Multiply the fraction by 100
To convert the fraction to a percentage, we will multiply it by 100.
$$ \text{Percentage} = \frac{3}{80} \times 100 $$
- Perform the multiplication
Calculating the multiplication gives us:
$$ \text{Percentage} = \frac{3 \times 100}{80} = \frac{300}{80} $$
- Simplify the fraction
Now we simplify the fraction $\frac{300}{80}$ by finding the greatest common divisor (GCD) of 300 and 80, which is 20.
$$ \frac{300 \div 20}{80 \div 20} = \frac{15}{4} $$
- Convert the simplified fraction to a decimal
Now we convert the fraction $\frac{15}{4}$ into a decimal by performing the division:
$$ 15 \div 4 = 3.75 $$
- Write the final percentage
To express this as a percentage, we write:
$$ 3.75 \times 100 % = 375% $$
The equivalent percentage of the fraction $\frac{3}{80}$ is $3.75%$.
More Information
The percentage is a way to express a fraction out of 100, making it easier to compare and understand different quantities. In this case, $\frac{3}{80}$ indicates that for every 80 parts, 3 parts represent the proportion, translating to $3.75%$.
Tips
A common mistake is forgetting to multiply by 100 or miscalculating during the multiplication step. To avoid this, explicitly write out each step and double-check calculations.
AI-generated content may contain errors. Please verify critical information
