Question

(5 3/8-4 5/6):(-1 5/8) плииз

Answer 1

Ответ:

-1/3

Пошаговое объяснение:

1)5 3/8 - 4 5/6=43/8 - 29/6=129/24 - 116/24=13/24

2)13/24 : (-1 5/8)= 13/24 * (-8/13) =-1/3

Answer 2

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

1. Convert Mixed Numbers to Improper Fractions:

   • $5 \frac{3}{8} = \frac{8 \cdot 5 + 3}{8} = \frac{40 + 3}{8} = \frac{43}{8}$
   • $4 \frac{5}{6} = \frac{6 \cdot 4 + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}$
   • $-1 \frac{5}{8} = \frac{8 \cdot -1 + 5}{8} = \frac{-8 + 5}{8} = \frac{-3}{8}$

2. Subtract the Fractions: $\frac{43}{8} - \frac{29}{6} = \frac{43 \cdot 6}{8 \cdot 6} - \frac{29 \cdot 8}{6 \cdot 8}$ $\frac{258}{48} - \frac{232}{48} = \frac{258 - 232}{48} = \frac{26}{48}$

3. Divide by -1 5/8: $\frac{26}{48} \div \left(-\frac{3}{8}\right) = \frac{26}{48} \cdot \left(-\frac{8}{3}\right)$ $\frac{26 \cdot -8}{48 \cdot 3} = \frac{-208}{144} = -\frac{208}{144}$

4. Simplify the Fraction: $-\frac{208}{144}$ can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 8. $\frac{-208}{144} = \frac{-26}{18} = -\frac{13}{9}$

So, the result of the expression $\frac{5 \frac{3}{8} - 4 \frac{5}{6}}{-1 \frac{5}{8}}$ is $-\frac{13}{9}$ or approximately -1.4444.