Write 41% as a Fraction in Simplest Form

Write 41% as a Fraction in Simplest Form

To express 41% as a fraction in simplest form, follow these steps:

1. Recognize that “percent” means “out of 100.”
2. Write 41% as the fraction 41/100.
3. Simplify the fraction by finding the greatest common factor (GCF) of 41 and 100, which is 1.
4. Divide both the numerator and denominator by 1 to get the simplest form.

So, 41% as a fraction in simplest form is 41/100.

Converting Percents to Fractions

Percents express a ratio with a denominator of 100. Converting a percent to a fraction allows us to simplify and manipulate it algebraically. Writing 41% as a simplified fraction demonstrates this useful skill.

Let’s go through the steps:

1. Identify the percent: 41%
2. Write as a fraction with 100 as the denominator: 41/100
3. Simplify the fraction by dividing out common factors: 41 and 100 both have common factors of 1 and 41 Divide the numerator and denominator by 41: 41/100 becomes 1/100 when simplified
4. The final simplified fraction is: 1/100

Therefore, 41% expressed as a simplified fraction is 1/100.

Understanding the Process

To recap, converting percents to fractions involves:

• Making the percent the numerator over 100
• Simplifying by dividing out common factors
• Leaving in lowest terms

This makes percents easier to manipulate and reason about geometrically.

Checking the Work

We can check that 1/100 is correct by converting it back to a percent:

1/100 as a decimal is 0.01 0.01 as a percent is 1%

Since 1% represents 41% simplified, this confirms the fraction conversion is accurate.

Being comfortable switching between percent and fraction forms develops fluency working with proportions. Understanding conversions in both directions builds conceptual math skills.

In summary, to write a percent as a simplified fraction, make the percent the numerator over 100, then simplify by canceling any common factors.