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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
1장, 문제 176

Write each percent as a fraction. Give answers in lowest terms.
8%8\%

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1
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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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.
추천 영상:
06:04
Introduction to Polynomial Functions

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.
추천 영상:
05:45
Radical Expressions with Fractions

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.
추천 영상:
05:45
Radical Expressions with Fractions