Question

8/15*(-1/2)-3/10:(-5/3)

Answer 1

Ответ:

Пошаговое объяснение:

8/15 * (-1/2) - 3/10 : (-5/3)

8/15 * (-1/2) = -4/15

3/10 : (-5/3) = 3/10 * (-3/5) = -9/50

-4/15 - (-9/50) =  (-40+27) / 150 = -13/150

Answer 2

To solve the expression 8/15 * (-1/2) - 3/10 : (-5/3), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Multiplication and Division:

   • First, we calculate the multiplication 8/15 * (-1/2): (8/15) * (-1/2) = -8/30 = -4/15
   • Second, we calculate the division 3/10 : (-5/3): (3/10) : (-5/3) = (3/10) * (-3/5) = -9/50

2. Subtraction: Now, we subtract the result of the division from the result of the multiplication: -4/15 - (-9/50)

To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 15 and 50 is 150. We'll convert both fractions to have a denominator of 150:

-4/15 = -40/150 -9/50 = -27/150

Now, we can subtract the fractions:

-40/150 - (-27/150) = -40/150 + 27/150 = (-40 + 27)/150 = -13/150

Therefore, the simplified value of the expression 8/15 * (-1/2) - 3/10 : (-5/3) is -13/150.