Question

5/9+1целая5/7*(4целых2/3-2целых5/8):1целая 3/4

Answer 1

= 5/9 + ( 12/7 * 14/3 - 12/7 * 21/8 ) : 7/4 =
= 5/9 + ( 8 - 9/2 ) * 4/7 =
= 5/9 + ( 16/2 - 9/2 ) * 4/7 =
= 5/9 + 7/2 * 4/7 =
= 5/9 + 2 = 2 целых 5/9

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Simplify the expression within the parentheses. 4 целых 2/3 - 2 целых 5/8

To subtract mixed numbers, we need to have a common denominator. The common denominator here is 24.

4 целых 2/3 = (4 * 3) + 2/3 = 12/3 + 2/3 = 14/3 2 целых 5/8 = (2 * 8) + 5/8 = 16/8 + 5/8 = 21/8

Now we can subtract: 14/3 - 21/8

To subtract fractions, we need a common denominator. The common denominator here is 24.

14/3 = (14 * 8) / (3 * 8) = 112/24 21/8 = (21 * 3) / (8 * 3) = 63/24

Now we can subtract: 112/24 - 63/24 = 49/24

Step 2: Simplify the remaining expression. 5/9 + 1 целая 5/7 * (49/24) : 1 целая 3/4

Next, we can perform the multiplication and division from left to right: 1 целая 5/7 * (49/24) = (7 + 5/7) * (49/24) = (49/7 + 5/7) * (49/24) = 54/7 * 49/24 = (54 * 49) / (7 * 24) = 2646/168 = 157/10

1 целая 3/4 = (1 * 4) + 3/4 = 4/4 + 3/4 = 7/4

Now, let's substitute these values back into the expression: 5/9 + (157/10) : (7/4)

To divide fractions, we multiply by the reciprocal of the divisor: (157/10) : (7/4) = (157/10) * (4/7) = (157 * 4) / (10 * 7) = 628/70 = 314/35 = 62/7

Finally, let's add the remaining fractions: 5/9 + 62/7

To add fractions, we need a common denominator. The common denominator here is 63.

5/9 = (5 * 7) / (9 * 7) = 35/63 62/7 = (62 * 9) / (7 * 9) = 558/63

Now we can add: 35/63 + 558/63 = (35 + 558) / 63 = 593/63 = 19/2

Therefore, the simplified expression is 19/2 or "9 and 1/2".