Textbook Question
Write each percent as a fraction. Give answers in lowest terms.
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0. Review of Algebra
Exponents
1:18 minutesProblem 176
Textbook Question
Write each percent as a fraction. Give answers in lowest terms.
Verified step by step guidance1
Recall that a percent means 'per hundred,' so 8% can be written as the fraction \( \frac{8}{100} \).
Write the fraction \( \frac{8}{100} \) explicitly to represent 8%.
Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 8 and 100 is 4.
Divide both the numerator and the denominator by the GCD 4: \( \frac{8 \div 4}{100 \div 4} = \frac{2}{25} \).
Express the final answer as the simplified fraction \( \frac{2}{25} \), which is the fraction form of 8% in lowest terms.
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Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Understanding Percentages
A percent represents a part out of 100. Writing 8% means 8 parts out of 100, which can be expressed as the fraction 8/100. Recognizing this relationship is essential for converting percents to fractions.
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Converting Percents to Fractions
To convert a percent to a fraction, write the percent number over 100 and simplify if possible. For example, 8% becomes 8/100, which can then be reduced to its simplest form by dividing numerator and denominator by their greatest common divisor.
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Simplifying Fractions
Simplifying fractions involves dividing the numerator and denominator by their greatest common divisor (GCD) to express the fraction in lowest terms. For 8/100, the GCD is 4, so dividing both by 4 gives 2/25, the simplest form.
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