Question

(2 3/8- 1 5/6):(-5/8)​

Answer 1

Ответ:

вооот держиии☝️

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Answer 2

To solve the expression $(2\frac{3}{8} - 1\frac{5}{6}) \div (-\frac{5}{8})$, let's break it down step by step:

1. Convert mixed numbers to improper fractions:

   $2\frac{3}{8}$ as an improper fraction is $\frac{16}{8} + \frac{3}{8} = \frac{19}{8}$.

   $1\frac{5}{6}$ as an improper fraction is $\frac{6}{6} + \frac{5}{6} = \frac{11}{6}$.

2. Subtract the fractions in the numerator:

   $\frac{19}{8} - \frac{11}{6}$ is the same as $\frac{19}{8} - \frac{22}{12}$. To subtract fractions, find a common denominator, which in this case is 24:

   $\frac{19}{8} - \frac{22}{12} = \frac{19 \times 3}{8 \times 3} - \frac{22 \times 2}{12 \times 2} = \frac{57}{24} - \frac{44}{24} = \frac{13}{24}$.

3. Divide by $-\frac{5}{8}$:

   To divide fractions, multiply by the reciprocal of the divisor:

   $\frac{13}{24} \div \left(-\frac{5}{8}\right) = \frac{13}{24} \times \left(-\frac{8}{5}\right)$.

   Multiply the numerators and denominators:

   $\frac{13 \times (-8)}{24 \times 5} = \frac{-104}{120}$.

4. Simplify the result:

   The numerator and denominator have a common factor of 8:

   $\frac{-104}{120} = \frac{-13}{15}$.

Therefore, $(2\frac{3}{8} - 1\frac{5}{6}) \div (-\frac{5}{8}) = \frac{-13}{15}$.