Graham Lawson
02/28/2023 · Senior High School

How do you write 250% as a fraction, mixed number, or whole number in simplest form?

Real Tutor Solution

Tutor-Verified Answer

Quick Answer

\(\frac { 5} { 2} \) or \(2 \frac { 1} { 2} \).

Step-by-step Solution

Step 1: 
To convert 250% to a fraction, divide by 100: 
\[250\% = \frac { 250} { 100} \]
 

Step 2:

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 50: 
\[\frac { 250} { 100} = \frac { 250 \div 50} { 100 \div 50} = \frac { 5} { 2} \]
 

Step 3:

To express it as a mixed number: 
\[\frac { 5} { 2} = 2 \frac { 1} { 2} \]

 

Supplemental Knowledge:

Converting percentages to fractions is an integral skill in mathematics. A percentage represents one part per hundred; therefore, when converted to fraction form it involves writing it as an expression with 100 as its denominator and then simplifying any necessary.

Steps for Conversion: 
1. Write the percentage as a fraction with 100 as the denominator. 
2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

 

Applied Knowledge:

Understanding how to convert percentages to fractions can be useful in various real-life scenarios:

- Cooking: Recipes might require you to adjust ingredient quantities, and understanding these conversions helps in scaling recipes up or down. 
- Financial Planning: Interest rates, discounts, and other financial figures are often given in percentages, and converting them to fractions can make calculations easier.

 

To master essential skills like converting percentages to fractions or explore other important mathematical concepts, check out UpStudy’s live tutor question bank! Our AI-powered problem-solving services provide detailed explanations and insights across various subjects—including a Fractions calculator.

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