Question

(−4 5/12+9 1/4):3 2/9

Answer 1

Ответ:

$\frac{29}{81}$

Пошаговое решение:

Нету)

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Answer 2

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

1. Convert mixed numbers to improper fractions:

   • $−4 \frac{5}{12} = -4 + \frac{5}{12} = -\frac{48}{12} + \frac{5}{12} = -\frac{43}{12}$
   • $9 \frac{1}{4} = 9 + \frac{1}{4} = \frac{36}{4} + \frac{1}{4} = \frac{37}{4}$
   • $3 \frac{2}{9} = 3 + \frac{2}{9} = \frac{27}{9} + \frac{2}{9} = \frac{29}{9}$

2. Perform the subtraction and division operations:

   • $\left(-\frac{43}{12} + \frac{37}{4}\right) \div \frac{29}{9}$

3. Perform the addition and division operations:

   • $\frac{-43}{12} + \frac{37}{4} = \frac{-43 \cdot 3}{12 \cdot 3} + \frac{37 \cdot 3}{4 \cdot 3} = \frac{-129}{36} + \frac{111}{12} = -\frac{129}{36} + \frac{111}{12}$
   • $-\frac{129}{36} + \frac{111}{12} = -\frac{129}{36} + \frac{333}{36} = \frac{204}{36} = \frac{17}{3}$

4. Divide by $\frac{29}{9}$:

   • $\frac{\frac{17}{3}}{\frac{29}{9}} = \frac{17}{3} \cdot \frac{9}{29} = \frac{17 \cdot 9}{3 \cdot 29} = \frac{153}{87}$

5. Simplify the fraction:

   • $\frac{153}{87} = \frac{3 \cdot 51}{3 \cdot 29} = \frac{51}{29}$

So, the result of the expression $(-4 \frac{5}{12} + 9 \frac{1}{4}) : 3 \frac{2}{9}$ is $\frac{51}{29}$.