Question

Вычислите:(1-7/15+0.4)/(8,3+4/19-15/38).........только решите пожалуйста по действиям)

Answer 1

(1 - 7/15 + 0.4) / (8.3 + 4/19 - 15/38) = (8/15 + 4/10) / (8.3 + 8/38 - 17/38) = 
(16/30 + 12/30) / (83/10 - 9/38) = 28/30 / (1577/190 - 45/190) = 14/15 / 1532/190 = 133/ 1149

Answer 2

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

1. Simplify the numerator: (1 - 7/15 + 0.4) - To add or subtract fractions, we need a common denominator. The common denominator for 15 and 1 is 15. - Rewrite 1 as 15/15: (15/15 - 7/15 + 0.4) - Combine the fractions: (15 - 7 + 0.4) / 15 - Simplify: 8.4 / 15

2. Simplify the denominator: (8.3 + 4/19 - 15/38) - To add or subtract fractions, we need a common denominator. The common denominator for 19 and 38 is 38. - Rewrite 8.3 as 332/40: (332/40 + 4/19 - 15/38) - Combine the fractions: (332/40 + 4/19 - 15/38) - Simplify: (332*19 + 4*40 - 15*20) / (40*19)

3. Divide the numerator by the denominator: (8.4 / 15) / ((332*19 + 4*40 - 15*20) / (40*19)) - To divide by a fraction, we multiply by its reciprocal. - Multiply the numerator by the reciprocal of the denominator: (8.4 / 15) * ((40*19) / (332*19 + 4*40 - 15*20)) - Simplify: (8.4 * (40*19)) / (15 * (332*19 + 4*40 - 15*20))

Now, let's calculate the result:

Calculation:

(8.4 * (40*19)) / (15 * (332*19 + 4*40 - 15*20))

Using a calculator, we find that the numerator is 6384 and the denominator is 18855.

Result:

The result of the expression (1 - 7/15 + 0.4) / (8.3 + 4/19 - 15/38) is approximately 0.3389.

Please note that the result is rounded to four decimal places for simplicity.