Question

2 1/3:(5/8-8/3)-2*1 3/7

Answer 1

Ответ:

Пошаговое объяснение:

5/8-8/3=15/24-64/24=49/24

2 1/3:49/24=7/3*24/49=8/7=1 1/7

2 *1 3/7=2*10/7=20/7=2 6/7

1 1/7-2 6/7=-1 5/7

Answer 2

To solve this expression, we'll need to simplify each part of the equation step by step.

First, let's simplify the expression inside the parenthesis:

5/8 - 8/3

To subtract fractions with different denominators, we need to find a common denominator. In this case, we can use 24 as our common denominator:

5/8 = (5/8) x (3/3) = 15/24 8/3 = (8/3) x (8/8) = 64/24

So,

5/8 - 8/3 = 15/24 - 64/24 = -49/24

Now we can substitute this value back into the expression:

2 1/3: (-49/24) - 2 * 1 3/7

To simplify further, let's convert the mixed numbers to improper fractions:

2 1/3 = (2 x 3 + 1)/3 = 7/3 1 3/7 = (1 x 7 + 3)/7 = 10/7

So,

7/3: (-49/24) - 2 * 10/7

Next, let's simplify the division by multiplying the numerator by the reciprocal of the denominator:

7/3: (-49/24) = 7/3 x (-24/49) = -168/147

Now we can substitute this value back into the expression:

-168/147 - 2 * 10/7

To simplify further, let's convert 10/7 to an improper fraction:

10/7 = (1 x 7 + 3)/7 = 17/7

So,

-168/147 - 2 * 17/7

Now let's simplify the multiplication:

2 * 17/7 = 34/7

So,

-168/147 - 34/7

To subtract fractions with different denominators, we need to find a common denominator. In this case, we can use 147 as our common denominator:

-168/147 = (-168/147) x (1/1) = -168/147 34/7 = (34/7) x (21/21) = 714/147

So,

-168/147 - 714/147 = -882/147

Finally, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 21:

-882/147 = (-882/21) ÷ (147/21) = -42 ÷ 7 = -6

Therefore,

2 1/3:(5/8-8/3)-2*1 3/7 = -6