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:

  1. Write 27.5% as a fraction: 27.5%=27.510027.5\% = \frac{27.5}{100}

  2. Remove the decimal by multiplying both the numerator and denominator by 10: 27.5×10100×10=2751000\frac{27.5 \times 10}{100 \times 10} = \frac{275}{1000}

  3. Simplify the fraction by finding the greatest common divisor (GCD) of 275 and 1000, which is 25: 275÷251000÷25=1140\frac{275 \div 25}{1000 \div 25} = \frac{11}{40}

So, 27.5% as a fraction in simplest form is: 1140\frac{11}{40}

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you convert other percentages like 62.5% to fractions?
  2. What is 27.5% of 80?
  3. How do you simplify fractions using prime factorization?
  4. How can you express 11/40 as a decimal?
  5. 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