Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 - 1/3

검증된 단계별 안내

Identify the fractions involved: \( \frac{7}{12} \) and \( \frac{1}{3} \).

Find a common denominator for the fractions. Since 12 is a multiple of 3, the least common denominator (LCD) is \( 12 \).

Rewrite \( \frac{1}{3} \) with the denominator 12 by multiplying numerator and denominator by 4: \( \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \).

Perform the subtraction with the common denominator: \( \frac{7}{12} - \frac{4}{12} = \frac{7 - 4}{12} = \frac{3}{12} \).

Simplify the resulting fraction \( \frac{3}{12} \) by dividing numerator and denominator by their greatest common divisor (GCD), which is 3.

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주요 개념

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

Finding a Common Denominator

To add or subtract fractions, they must have the same denominator. This involves finding the least common denominator (LCD), which is the smallest number that both denominators divide into evenly. For example, for 7/12 and 1/3, the LCD is 12.

Performing Fraction Subtraction

Once fractions have a common denominator, subtract the numerators while keeping the denominator the same. For instance, with 7/12 and 4/12 (equivalent of 1/3), subtract 7 - 4 to get 3/12.

Simplifying Fractions to Lowest Terms

After performing the operation, simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). For example, 3/12 simplifies to 1/4 by dividing both by 3.