Question

7 1/5:2 4/7-8 3/4:(10-(5 1/2) 2:4 2/5)+(3 1/8*2):(8 1/12-1 5/6)=

Answer 1

Ответ:7 19/30

Пошаговое объяснение:

Answer 2

Let's break down the given expression step by step:

7 1/5:2 4/7 First, we need to convert the mixed numbers to improper fractions: 7 1/5 = (75+1)/5 = 36/5 2 4/7 = (27+4)/7 = 18/7

Now, we can rewrite the expression as: 36/5 ÷ 18/7

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: 36/5 x 7/18 = 14/5

So, the expression simplifies to 14/5.

8 3/4:(10-(5 1/2) 2:4 2/5)+(3 1/82):(8 1/12-1 5/6) Again, we need to convert the mixed numbers to improper fractions: 8 3/4 = (84+3)/4 = 35/4 5 1/2 = (52+1)/2 = 11/2 4 2/5 = (45+2)/5 = 22/5 3 1/8 = (38+1)/8 = 25/8 1 5/6 = (16+5)/6 = 11/6 8 1/12 = (8*12+1)/12 = 97/12

Now, let's substitute these values in the expression: 35/4 ÷ (10 - 11/2) + 22/5 ÷ (97/12 - 11/6) + 25/8 x 2

We need to simplify the expression by following the order of operations:

1. Parentheses: there are no parentheses in the expression.
2. Multiplication and division: we perform the division first. 35/4 ÷ (10 - 11/2) = 35/4 ÷ 9/2 = 35/4 x 2/9 = 35/18

22/5 ÷ (97/12 - 11/6) = 22/5 ÷ (85/12) = 22/5 x 12/85 = 264/425

25/8 x 2 = 25/4

3. Addition and subtraction: we perform the addition and subtraction last. 35/18 + 264/425 + 25/4 = (8500 + 8016 + 19125)/15300 = 36441/15300

Therefore, the final result of the expression is 36441/15300.