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