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Chapter 3: Fractions, decimals and percentages
Worksheet B
1 Convert the following percentages to fractions or mixed numbers in their
simplest form.
a b b

Ask by Stephens Gibbs. in Australia
Mar 18,2025

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Problem 1(a):
Problem 1(b):

Solución

Problem 1(a): Convert to a fraction in simplest form.
  1. Write the percentage as a fraction over 100:
  2. To eliminate the decimal in the numerator, multiply both numerator and denominator by 10:
  3. Simplify the fraction by dividing numerator and denominator by their greatest common divisor. Notice that
    Thus,
The simplest form is

Problem 1(b): Convert to a fraction or mixed number in simplest form.
  1. Write the percentage as a fraction over 100:
  2. Simplify the fraction by dividing numerator and denominator by their common factor. Both 375 and 100 are divisible by 25:
    So,
  3. Express the improper fraction as a mixed number. Divide 15 by 4:
    Hence,
The simplest form is either

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Mind Expander

Did you know that converting percentages to fractions dates back to ancient civilizations when trade and commerce relied heavily on shared systems of measurement? The concept of expressing parts of a whole using fractions helped standardize transactions, making it easier for cultures to engage in trade. Percentages became increasingly important during the Renaissance, allowing mathematicians to express ratios and comparisons more clearly.
When working with percentages, always remember the power of simplifying! A common mistake is forgetting to reduce fractions to their simplest form. For example, with 62.5%, you can convert it to a fraction by recognizing that it equals , which further reduces to . Always double-check your final fraction to ensure it’s the simplest form by dividing the numerator and denominator by their greatest common divisor!

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