Question

9 1/6-19/14-1/30*3*1/ 3+1/6 _____________________________ 19/96+(8 4/15-6 7/24):0,8-1 1/2:2,25

Answer 1

(9+1/6-1-9/14-3/90 +1/6):(19/96+(8+4/15-6-7/24):0,8-1,5:2,25)=
(8+2/6-9/14):(19/96+(2+4/15-7/24)*10:8-(15/10):(225/100)=
(8+1/3-9/14):(19/96+(2+32/120-35/120)*10:8-(150/225)=
(8+14/42-27/42):(19/96+(2-3/120)*10:8-2/3)=
(8-13/42):(19/96+(2-1/40)*10:8-2/3)=
(7+14/42):(19/96+(79/40)*10:8-2/3)=
(7+2/21):(19/96+79/32-2/3)=
(7+2/21):(19/96+79*3/96-2/3)=
(7+2/21):(256/96-2/3)=
(7+2/21):(8/3-2/3)=(7+2/21):(6/3)=(7+2/21):2=
(6+23/21):2=3+23/42=3целых23/42

Answer 2

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

Step 1: Simplify the fractions 9 + 1/6 - 19/14 - 1/30 * 3 * 1/ + 3 + 1/6 + 19/96 + (8 + 4/15 - 6 + 7/24):0,8 - 1 + 1/2:2,25

First, let's simplify the fractions in the expression:

9 + 1/6 - 19/14 - 1/30 * 3 * 1/ + 3 + 1/6 + 19/96 + (8 + 4/15 - 6 + 7/24):0,8 - 1 + 1/2:2,25

Step 2: Perform multiplication and division Next, let's perform the multiplication and division operations from left to right:

9 + 1/6 - 19/14 - 1/30 * 3 * 1/ + 3 + 1/6 + 19/96 + (8 + 4/15 - 6 + 7/24):0,8 - 1 + 1/2:2,25

1/30 * 3 = 1/10

1/10 * 1/ = 1/10

(8 + 4/15 - 6 + 7/24) = 8 + 4/15 - 6 + 7/24 = 8 + 28/120 - 6 + 35/120 = 8 + 63/120 - 6 = 8 + 21/40 - 6 = 8 + 0.525 - 6 ≈ 2.525

(8 + 4/15 - 6 + 7/24):0,8 = 2.525 / 0.8 ≈ 3.15625

1 + 1/2:2,25 = 1 + 0.5 / 2.25 = 1 + 0.222 ≈ 1.222

Step 3: Perform addition and subtraction Finally, let's perform the addition and subtraction operations from left to right:

9 + 1/6 - 19/14 - 1/10 + 3 + 1/6 + 19/96 + 3.15625 - 1 + 1.222

Convert all the fractions to a common denominator:

9 + 16/96 - 120/84 - 8/80 + 3 + 16/96 + 19/96 + 3.15625 - 1 + 1.222

Simplify the fractions:

9 + 1/6 - 5/3 - 1/10 + 3 + 1/6 + 19/96 + 3.15625 - 1 + 1.222

Combine like terms:

9 + 1/6 + 1/6 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Convert all the fractions to a common denominator:

9 + 16/96 + 16/96 - 160/96 - 9/96 + 19/96 + 3.15625 - 96/96 + 96/96

Simplify the fractions:

9 + 1/6 + 1/6 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Combine like terms:

9 + 2/6 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Simplify the fractions:

9 + 1/3 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Combine like terms:

9 + 1/3 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Convert all the fractions to a common denominator:

9 + 32/96 - 160/96 - 9/96 + 19/96 + 3.15625 - 96/96 + 96/96

Simplify the fractions:

9 + 1/3 - 5/3 - 1/10 + 19/96 + 3.15625 - 1 + 1.222

Combine like terms:

9 - 4/3 + 19/96 + 3.15625 - 1 + 1.222

Convert all the fractions to a common denominator:

9 - 128/96 + 19/96 + 3.15625 - 96/96 + 96/96

Simplify the fractions:

9 - 4/3 + 19/96 + 3.15625 - 1 + 1.222

Combine like terms:

9 - 4/3 + 19/96 + 3.15625 - 1 + 1.222

Perform the calculations:

9 - 4/3 + 19/96 + 3.15625 - 1 + 1.222 ≈ 12.578

So, the answer to the given expression is approximately 12.578.