Textbook Question
Write each percent as a fraction. Give answers in lowest terms.
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0. Review of Algebra
Exponents
1:14 minutesProblem 175
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 2% can be written as the fraction \( \frac{2}{100} \).
Write the fraction \( \frac{2}{100} \) explicitly to represent 2%.
Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 2 and 100 is 2.
Divide both the numerator and the denominator by the GCD (2) to reduce the fraction to its lowest terms: \( \frac{2 \div 2}{100 \div 2} = \frac{1}{50} \).
Express the final answer as the simplified fraction \( \frac{1}{50} \), which is the fraction form of 2% 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 Percent
Percent means 'per hundred' and represents a part of 100. For example, 2% means 2 out of 100, or 2/100. Recognizing this helps convert percents into fractions by placing the percent number over 100.
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Converting Percents to Fractions
To convert a percent to a fraction, write the percent number as the numerator and 100 as the denominator. For instance, 2% becomes 2/100. This step is essential for expressing percents in fractional form.
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Simplifying Fractions to Lowest Terms
After converting to a fraction, simplify it by dividing numerator and denominator by their greatest common divisor (GCD). For 2/100, dividing both by 2 gives 1/50, the fraction in lowest terms.
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