Question

(11 7/12 - 10 11)/15•4/17:4/5

Answer 1

В ответе получается 1/4

Answer 2

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

1. Calculate the subtraction:
   $11 \frac{7}{12} - 10 \frac{11}{15}$

   First, convert the mixed numbers to improper fractions: $11 \frac{7}{12} = \frac{11 \times 12 + 7}{12} = \frac{139}{12}$ $10 \frac{11}{15} = \frac{10 \times 15 + 11}{15} = \frac{161}{15}$

   Subtract:
   $\frac{139}{12} - \frac{161}{15} = \frac{139 \times 15 - 161 \times 12}{12 \times 15}$

2. Simplify the resulting fraction:
   $\frac{2085 - 1932}{180} = \frac{153}{180} = \frac{17}{20}$

3. Now, let's continue with the rest of the expression:

   $\frac{17}{20} \cdot \frac{4}{17} : \frac{4}{5}$

   Multiply the fractions:
   $\frac{17 \cdot 4}{20 \cdot 17} : \frac{4}{5} = \frac{68}{340} : \frac{4}{5}$

   Divide by inverting and multiplying:
   $\frac{68}{340} \cdot \frac{5}{4} = \frac{340}{340} = 1$

So, the result of the expression is 1.