Math Problem Statement
27.5% as a fraction in simplest form
Solution
To express 27.5% as a fraction in simplest form, follow these steps:
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Write 27.5% as a fraction:
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Remove the decimal by multiplying both the numerator and denominator by 10:
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Simplify the fraction by finding the greatest common divisor (GCD) of 275 and 1000, which is 25:
So, 27.5% as a fraction in simplest form is:
Would you like more details or have any questions?
Here are 5 related questions:
- How do you convert other percentages like 62.5% to fractions?
- What is 27.5% of 80?
- How do you simplify fractions using prime factorization?
- How can you express 11/40 as a decimal?
- What is the decimal form of 27.5%?
Tip: Always remember to multiply by powers of 10 to eliminate decimals when converting percentages to fractions!
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Math Problem Analysis
Mathematical Concepts
Percentage Conversion
Fraction Simplification
Greatest Common Divisor (GCD)
Formulas
Fraction = (Percentage / 100)
Simplification using GCD
Theorems
GCD Method for Simplifying Fractions
Suitable Grade Level
Grades 5-7