Question

11 5/9 - ( 6 4/9 - 5 1/9 )

Answer 1

Ответ:

10 2/9

Пошаговое объяснение:

1действие: 6 4/9-5 1/9= 1 3/9

2действие: 11 5/9-1 3/9=10 2/9

Answer 2

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

1. Start with the innermost parentheses: $6 \frac{4}{9} - 5 \frac{1}{9}$.

   • Convert the mixed fractions to improper fractions: $6 \frac{4}{9} = \frac{6 \cdot 9 + 4}{9} = \frac{54 + 4}{9} = \frac{58}{9}$ $5 \frac{1}{9} = \frac{5 \cdot 9 + 1}{9} = \frac{45 + 1}{9} = \frac{46}{9}$
   • Subtract the second fraction from the first: $\frac{58}{9} - \frac{46}{9} = \frac{12}{9} = \frac{4}{3}$

2. Now substitute the result back into the original expression: $11 \frac{5}{9} - \frac{4}{3}$.

   • Convert the mixed fraction to an improper fraction: $11 \frac{5}{9} = \frac{11 \cdot 9 + 5}{9} = \frac{99 + 5}{9} = \frac{104}{9}$
   • Subtract $\frac{4}{3}$ from $\frac{104}{9}$: $\frac{104}{9} - \frac{4}{3} = \frac{104}{9} - \frac{12}{9} = \frac{92}{9}$

So, $11 \frac{5}{9} - (6 \frac{4}{9} - 5 \frac{1}{9}) = \frac{92}{9}$.