Question

(-5/9+14/15)÷(-17/30)​по действиям

Answer 1

Ответ: -2/3

Решение:

1) -5/9+14/15=17/45

2) 17/45÷(-17/30)=-2/3

Answer 2

To solve the expression (-5/9 + 14/15) ÷ (-17/30), let's break it down into steps:

Step 1: Simplify the expression inside the parentheses (-5/9 + 14/15): To add fractions, we need a common denominator. In this case, the least common multiple (LCM) of 9 and 15 is 45. We'll convert both fractions to have a denominator of 45.

(-5/9) × (5/5) = -25/45 (14/15) × (3/3) = 42/45

Now, the expression becomes (-25/45 + 42/45).

Step 2: Add the fractions inside the parentheses: (-25/45 + 42/45) = (17/45).

Step 3: Divide the result by (-17/30): To divide fractions, we need to multiply by the reciprocal of the divisor.

(17/45) ÷ (-17/30) = (17/45) × (-30/17).

Step 4: Simplify the division: Cancel out the common factors between the numerator and denominator:

(17/45) × (-30/17) = (-1) × (2/3) = -2/3.

Therefore, the final result is -2/3.