Question

( - 5/9 + 14/15) / ( 17 / 30 ) = ?

Answer 1

(-5*5/45 + 14*3/45):(17/30)= (-25/45+42/45)*(30/17)= (17/45)*(30/17)= 30/45= 2/3

Answer 2

Ответ:

(-5\9+14\15)*30\17=17\45*30\17=2\3

Пошаговое объяснение:

Answer 3

To solve the expression, follow these steps:

1. Find the result of the expression inside the parentheses first.
2. Then, divide the result by 17/30.

Let's calculate step by step:

Step 1: Inside the parentheses, -5/9 + 14/15

To add fractions, you need a common denominator. The least common multiple (LCM) of 9 and 15 is 45. So, let's convert both fractions:

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

Now, add the fractions together:

-25/45 + 42/45 = 17/45

Step 2: Now, divide the result from step 1 by 17/30:

(17/45) / (17/30)

To divide fractions, you invert the divisor and then multiply:

(17/45) * (30/17)

Now, perform the multiplication:

(17 * 30) / (45 * 17) = 510 / 765

Both the numerator and denominator can be simplified by dividing both by their greatest common divisor (GCD), which is 255:

510 / 765 = (510/255) / (765/255) = 2 / 3

So, the final result is:

(-5/9 + 14/15) / (17/30) = 2/3