# What is 1/4 as a percent?

## What is ^{1}/_{4} simplified?

^{1}/

_{4}is already simplified

## What is ^{1}/_{4} as a percentage?

## What is ^{1}/_{4} as a mixed number?

^{1}/

_{4}=

^{1}/

_{4}

# What is 1/4 as a percentage?

Hello, young mathematicians! Let's dive into the captivating world of fractions and percentages. Get ready through the methods for converting 1/4 into a percentage with us!

## Answer: 1/4 as a percentage is 25%

When you have a fraction like 1/4, it means you have 1 parts out of a total of 4 parts. To express this fraction as a percentage, you're comparing it to a whole of 100 parts. So, you're calculating how many out of those 100 parts your fraction represents.

In the case of 1/4, when you convert it to an equivalent fraction with a denominator of 100, you get 25%.

There are many methods you can apply, and they allow you to convert fractions to percentages, helping you relate fractions to the concept of parts out of 100.

### Method 1: Using Equivalent Fractions

**Step 1: **

Write down the fraction: 1/4

**Step 2: **

Create an equivalent fraction with a denominator of 100. To do this, determine what number you need to multiply the 4 by to reach 100. In this case, you'd need to multiply both the numerator and denominator by 0.25.

**Step 3:**

The numerator of the equivalent fraction represents the part out of 100, so the percentage is 25%.

So, 1/4 as a percentage is 25%.

### Method 2: Divide and Multiply by 100

**Step 1: **

Write down the fraction: 1/4

**Step 2:**

Divide the numerator by the denominator: 1 ÷ 4 = 25%

**Step 3: **

Multiply the result by 100 to express it as a percentage: 25% * 100 = 25%

Again, you get the same result: 1/4 as a percentage is 25%.

### Method 3: Fraction to Decimal to Percentage

**Step 1: **

Write down the fraction: 1/4

**Step 2:**

Convert the fraction to a decimal using division: 1 ÷ 4 = 25%

**Step 3: **

Convert the decimal to a percentage by multiplying it by 100: 25% * 100 = 25%

Each method confirms that 1/4 as a percentage is 25%.

**Remember, practice makes perfect!** The more you work with these conversions, the more comfortable you'll become with the process.

### Common Core State Standards

Grade 7

Ratios and Proportional Relationships (7.RP)