Question

(2 3/8 - 1 5/6) : (- 5/8)/ - дробь​

Answer 1

Ответ:

(2.875-2.5):(-0.625)=1.25:(-0.625)= -2

Answer 2

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

1. Subtract Fractions: First, let's subtract the fractions within the parentheses:

   $2 \frac{3}{8} - 1 \frac{5}{6} = \frac{19}{8} - \frac{11}{6}$

   To subtract fractions with different denominators, we need to find a common denominator. The common denominator for 8 and 6 is 24. So, we'll convert both fractions to have a denominator of 24:

   $\frac{19}{8} = \frac{19 \times 3}{8 \times 3} = \frac{57}{24}$ $\frac{11}{6} = \frac{11 \times 4}{6 \times 4} = \frac{44}{24}$

   Now, we can subtract the fractions:

   $\frac{57}{24} - \frac{44}{24} = \frac{13}{24}$

2. Division of Fractions: Now, we need to divide the result by $-\frac{5}{8}$. When dividing by a fraction, we can multiply by its reciprocal:

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

   We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 8:

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

So, the final result of the expression $\frac{2 \frac{3}{8} - 1 \frac{5}{6}}{-\frac{5}{8}}$ is $-\frac{13}{15}$.