Question

(7 2/3-3 3/6):(-2 3/6)=

Answer 1

Ответ:67/3

Пошаговое объяснение:

Answer 2

To solve this expression, let's break it down step by step:

1. Convert Mixed Numbers to Improper Fractions:

   • $7 \frac{2}{3}$ is equivalent to $\frac{7 \cdot 3 + 2}{3} = \frac{21 + 2}{3} = \frac{23}{3}$
   • $3 \frac{3}{6}$ is equivalent to $\frac{3 \cdot 6 + 3}{6} = \frac{18 + 3}{6} = \frac{21}{6}$
   • $-2 \frac{3}{6}$ is equivalent to $\frac{-2 \cdot 6 + 3}{6} = \frac{-12 + 3}{6} = \frac{-9}{6}$

2. Perform the Subtraction: $\frac{23}{3} - \frac{21}{6} = \frac{46}{6} - \frac{21}{6} = \frac{46 - 21}{6} = \frac{25}{6}$

3. Perform the Division: $\frac{25}{6} \div \frac{-9}{6} = \frac{25}{6} \cdot \frac{-6}{9} = \frac{25 \cdot -6}{6 \cdot 9} = \frac{-150}{54}$

4. Simplify the Fraction: To simplify the fraction, we can find the greatest common divisor (GCD) of 150 and 54, which is 6. Divide both the numerator and denominator by 6:

   $\frac{-150}{54} = \frac{-25}{9}$

So, the result of the expression $\frac{7 \frac{2}{3} - 3 \frac{3}{6}}{-2 \frac{3}{6}}$ is $\frac{-25}{9}$.