Question

2/3*5/7-3/14:(-4 1/2)-2 2/3

Answer 1

Ответ:

-2 1/42

Пошаговое объяснение:

2/3*5/7=10/21

3/14:(-4 1/2)=1/6

10/21+1/6=27/42 ставим знак + потому что минус на минус будет +

27/42-2 2/3=-2 1/42

Answer 2

To solve this expression, we should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

First, let's address the expression step by step:

1. 2/3 * 5/7: Multiply the fractions: (2/3) * (5/7) = (25)/(37) = 10/21

2. -3/14 / (-4 1/2): To divide by a mixed number, we should convert it to an improper fraction first. (-4 1/2) = -9/2 Now, divide: (-3/14) / (-9/2) = (-3/14) * (-2/9) When you multiply fractions, you multiply the numerators and the denominators: (3 * 2) / (14 * 9) = 6/126

3. 2 2/3 can also be expressed as an improper fraction: 2 2/3 = 8/3

Now, let's put everything together:

(10/21) - (6/126) - (8/3)

To subtract these fractions, we need a common denominator, which is 126 in this case:

(10/21) - (6/126) - (8/3) = (60/126) - (6/126) - (56/126)

Now, subtract the fractions:

(60/126 - 6/126 - 56/126) = (60 - 6 - 56) / 126 = (-2/126)

We can simplify this fraction further by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2:

(-2/126) = (-1/63)

So, the result of the expression is -1/63.