Question

(3 3/7*2 5/8-16):5 1/4+11 11/15

Answer 1

Ответ:

Пошаговое объяснение:

1) 3. 3/7 * 2. 5/8 =

24/7 * 21/8 = 3/1 * 3/1 = 9/1 = 9

2) 9 - 16 = -7

3) -7 : 5. 1/4 = -7 : 21/4 =

-7 * 4/21 = -1 * 4/3 = -4/3 =

-1. 1/3

4) -1. 1/3 + 11. 11/15 =

-1. 5/15 + 11. 11/15 = 10. 6/15 = 10. 2/5

Answer 2

To solve the expression (3 3/7 * 2 5/8 - 16) / 5 1/4 + 11 11/15, you should follow the order of operations (PEMDAS/BODMAS):

1. Perform the multiplications and divisions from left to right.
2. Then, add or subtract from left to right.

Let's break it down step by step:

Step 1: Solve the multiplication and division from left to right. (3 3/7 * 2 5/8 - 16) / 5 1/4 + 11 11/15 = (24/7 * 21/8 - 16) / 21/4 + 11 11/15

Now, we'll perform the multiplications and subtractions in the parentheses:

= (504/56 - 16) / 21/4 + 11 11/15 = (9 - 16) / 21/4 + 11 11/15

Now, we'll simplify this expression:

= (-7) / 21/4 + 11 11/15

Step 2: Add or subtract from left to right. First, divide -7 by 21/4:

= (-7) / (21/4) + 11 11/15

To divide by a fraction, multiply by its reciprocal:

= (-7) * (4/21) + 11 11/15

Now, we'll simplify the first part:

= -28/21 + 11 11/15

Simplify further by finding a common denominator for the fractions:

= -28/21 + (11 * 15/15 + 11/15)

= -28/21 + 166/15

Now, we need to find a common denominator for these two fractions, which is 105:

= (-28/21) * (5/5) + (166/15) * (7/7)

= (-140/105) + (1162/105)

Now, you can add the fractions:

= (-140 + 1162) / 105

= 1022/105

So, the final result is 1022/105.