Question

(-5/9+14/15):(-17/20)

Answer 1

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Вот короткий и правельный ответ

Answer 2

Ответ:

-4/9

Пошаговое объяснение:

Answer 3

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

Expression: $\frac{-\frac{5}{9} + \frac{14}{15}}{-\frac{17}{20}}$

Step 1: Calculate the numerators and denominators of the fractions within the expression:

$-\frac{5}{9} + \frac{14}{15}$

First, find a common denominator for $9$ and $15$, which is $45$. Then, convert the fractions to have the common denominator:

$-\frac{25}{45} + \frac{42}{45}$

Step 2: Add the fractions:

$-\frac{25}{45} + \frac{42}{45} = \frac{-25 + 42}{45} = \frac{17}{45}$

So, the expression becomes:

$\frac{\frac{17}{45}}{-\frac{17}{20}}$

Step 3: When dividing by a fraction, you can multiply by its reciprocal:

$\frac{17}{45} \cdot \frac{-20}{17}$

Step 4: Simplify the fraction:

$\frac{17 \cdot -20}{45 \cdot 17} = \frac{-340}{765}$

Step 5: Simplify the fraction further by dividing the numerator and denominator by their greatest common divisor, which is $5$:

$\frac{-340 ÷ 5}{765 ÷ 5} = \frac{-68}{153}$

So, the final result of the expression $\frac{-\frac{5}{9} + \frac{14}{15}}{-\frac{17}{20}}$ is $\frac{-68}{153}$.