1) Simplify 20/(4/12). Twenty divided by four twelfths. 2) Simplify \( (6 / 7) / 30 \). Six sevenths divided by 30 . 2.
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When simplifying \( 20 / (4/12) \), remember that dividing by a fraction is the same as multiplying by its reciprocal. So, \( 20 / (4/12) = 20 \times (12/4) = 20 \times 3 = 60 \). It's like flipping the fraction and turning division into multiplication—almost like a magical math trick! For the second one, \( (6/7) / 30 \) can be tackled by rewriting it as \( 6/7 \times 1/30 \), which gives us \( 6/(7 \times 30) = 6/210 \). Simplifying this fraction, we can divide both the numerator and the denominator by 6, leading to \( 1/35 \). Voilà, math made easy!