Question

20+(7 1/3-6 3/8):3/4-(5 1/4-4 21/40):1 9/20×112 нужно решение и ответ

Answer 1

7 1/3-6 3/8=1 8/24-9/24=23/24
23/24:3/4=23/24*4/3=23/18=1 5/18
20+1 5/18=21 5/18
5 1/4-4 21/40=1 10/40-21/40=29/40
29/40:1 9/20=29/40*20/29=1/2
1/2*112=56
21 5/18+56=77 5/18

Answer 2

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

Step 1: Simplify the expressions inside parentheses.

• 7 1/3 - 6 3/8 = (21/3 + 1/3) - (19/8 + 3/8) = 22/3 - 22/8 = (176/24) - (33/8) = (176 - 99)/24 = 77/24
• 5 1/4 - 4 21/40 = (21/4 + 1/4) - (161/40 + 21/40) = 22/4 - 182/40 = (88/40) - (182/40) = (88 - 182)/40 = -94/40 = -47/20

Step 2: Perform the operations from left to right.

20 + (77/24) = (20 * 24 + 77) / 24 = (480 + 77) / 24 = 557 / 24

Step 3: Simplify the expression involving fractions.

(557/24) ÷ (3/4) = (557/24) * (4/3) = (557 * 4) / (24 * 3) = 2228 / 72 = 139/4

Step 4: Convert the mixed number into an improper fraction.

1 9/20 = (20 * 1 + 9) / 20 = 29 / 20

Step 5: Perform the multiplication.

(139/4) × (112/1) = (139 * 112) / (4 * 1) = 15568 / 4 = 3892

So, the final answer is 3892.