정수와 유리수 연습문제 — OpenStax Elementary Algebra · 1.6절 · 5번

OpenStax Elementary Algebra · 1.6절 · 5번우리말 번역

더하세요: $\frac{7}{12}+\frac{5}{18}.$

영어 원문 보기

Add: $\frac{7}{12}+\frac{5}{18}.$

정답·풀이 보기

다음 단계는 "2단계. 분수를 더하거나 뺀다."이다. 힌트는 "더한다."이다. 그리고 31/36이 있다.

마지막 단계는 "3단계. 가능하면 간단히 한다."이다. 설명은 "31은 소수이므로 36과 공통인 약수가 없다. 답은 이미 간단히 된 것이다."이다.

원본 교재 풀이(영어)

$In this figure, we have a table with directions on the left, hints or explanations in the middle, and mathematical statements on the right. On the first line, we have “Step 1. Do they have a common denominator? No – rewrite each fraction with the LCD (least common denominator).” To the right of this, we have the statement “No. Find the LCD 12, 18.” To the right of this, we have 12 equals 2 times 2 times 3 and 18 equals 2 times 3 times 3. The LCD is hence 2 times 2 times 3 times 3, which equals 36. As another hint, we have “Change into equivalent fractions with the LCD,. Do not simplify the equivalent fractions! If you do, you’ll get back to the original fractions and lose the common denominator!” To the right of this, we have 7/12 plus 5/18, which becomes the quantity (7 times 3) over the quantity (12 times 3) plus the quantity (5 times 2) over the quantity (18 times 2), which becomes 21/36 plus 10/36.$

$The next step reads “Step 2. Add or subtract the fractions.” The hint reads “Add.” And we have 31/36.$

The final step reads “Step 3. Simplify, if possible.” The explanation reads “Because 31 is a prime number, it has no factors in common with 36. The answer is simplified.”

한 번 더 — 비슷한 문제OpenStax Elementary Algebra · 1.5절 · 11번우리말 번역

곱하세요: $\frac{11}{3}(-9a).$

답 쓰고 채점

다 풀었으면 정답 확인

$-33a$

이 문제로 이어서 풀기

# 정수와 유리수계산자동 분류