What is{45[(858×2569)+458-35÷56}] and how to solve it?

793677375/8 or 9.9209671875 × 10^7

Step-by-step explanation:

Simplify the following:

45 (858×2569 + 458 - 35/56)

The gcd of -35 and 56 is 7, so (-35)/56 = (7 (-5))/(7×8) = 7/7×(-5)/8 = (-5)/8:

45 (858×2569 + 458 + (-5)/8)

| | | 2 | 5 | 6 | 9

× | | | | 8 | 5 | 8

| | 2 | 0 | 5 | 5 | 2

| 1 | 2 | 8 | 4 | 5 | 0

2 | 0 | 5 | 5 | 2 | 0 | 0

2 | 2 | 0 | 4 | 2 | 0 | 2:

45 (2204202 + 458 - 5/8)

Put 2204202 + 458 - 5/8 over the common denominator 8. 2204202 + 458 - 5/8 = (8×2204202)/8 + (8×458)/8 - 5/8:

45 (8×2204202)/8 + (8×458)/8 - 5/8

8×2204202 = 17633616:

45 (17633616/8 + (8×458)/8 - 5/8)

8×458 = 3664:

45 (17633616/8 + 3664/8 - 5/8)

17633616/8 + 3664/8 - 5/8 = (17633616 + 3664 - 5)/8:

45 (17633616 + 3664 - 5)/8

| | | | | 1 | | 1 |  

| 1 | 7 | 6 | 3 | 3 | 6 | 1 | 6

+ | | | | | 3 | 6 | 6 | 4

| 1 | 7 | 6 | 3 | 7 | 2 | 8 | 0:

45 (17637280 - 5)/8

| | | | | | | 7 | 10

| 1 | 7 | 6 | 3 | 7 | 2 | 8 | 0

- | | | | | | | | 5

| 1 | 7 | 6 | 3 | 7 | 2 | 7 | 5:

45×17637275/8

45×17637275/8 = (45×17637275)/8:

(45×17637275)/8

| 1 | 7 | 6 | 3 | 7 | 2 | 7 | 5

× | | | | | | | 4 | 5

| 8 | 8 | 1 | 8 | 6 | 3 | 7 | 5

7 | 0 | 5 | 4 | 9 | 1 | 0 | 0 | 0

7 | 9 | 3 | 6 | 7 | 7 | 3 | 7 | 5:

793677375/8

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared