Add or subtract as indicated. Write answers in lowest terms as needed. $8 and two ninths minus 4 and two thirds$

검증된 단계별 안내

First, rewrite the expression clearly: $8 \left( \frac{2}{9} \right) - 4 \left( \frac{2}{3} \right)$.

Multiply the whole numbers by the fractions separately: calculate $8 \times \frac{2}{9}$ and $4 \times \frac{2}{3}$.

For each multiplication, multiply the numerator by the whole number and keep the denominator the same: $\frac{8 \times 2}{9}$ and $\frac{4 \times 2}{3}$.

Simplify each fraction if possible by dividing numerator and denominator by their greatest common divisor (GCD).

Subtract the second fraction from the first by finding a common denominator, rewriting both fractions with this denominator, then subtracting the numerators. Finally, simplify the resulting fraction to lowest terms.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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주요 개념

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

Multiplication of Whole Numbers and Fractions

Multiplying a whole number by a fraction involves multiplying the whole number by the numerator of the fraction and then dividing by the denominator. For example, 8 × (2/9) means 8 times 2 divided by 9, which simplifies the expression before further operations.

Subtraction of Fractions

To subtract fractions, they must have a common denominator. If denominators differ, find the least common denominator (LCD), convert each fraction, then subtract the numerators while keeping the denominator the same.

Simplifying Fractions to Lowest Terms

After performing operations, fractions should be simplified by dividing numerator and denominator by their greatest common divisor (GCD). This ensures the answer is expressed in simplest form, making it easier to interpret and compare.

Add or subtract as indicated. Write answers in lowest terms as needed. 829−4238\(\frac{2}{9}\) - 4\(\frac{2}{3}\)