Question

Найдите значение выражения: 13/18-1/24-(29/72+6/36)= (7/8-4/5)+(1/20+1/4)+1/2=

Answer 1

13/18-1/24-(29/72+6/36)=1/9
(7/8-4/5)+(1/20+1/4)+1/2=7/8

Answer 2

To find the value of the given expression, let's break it down step by step.

Step 1: Simplify the expression within the first set of parentheses. 29/72 + 6/36 = (29/72) + (1/6) = (29/72) + (12/72) = (29 + 12) / 72 = 41/72

Step 2: Simplify the expression within the second set of parentheses. 7/8 - 4/5 = (35/40) - (32/40) = (35 - 32) / 40 = 3/40

1/20 + 1/4 = (1/20) + (5/20) = (1 + 5) / 20 = 6/20 = 3/10

Step 3: Simplify the expression after the equals sign. 13/18 - 1/24 - (41/72) = (312/432) - (18/432) - (299/432) = (312 - 18 - 299) / 432 = (312 - 317) / 432 = -5/432

(3/8) + (3/10) + 1/2 = (15/40) + (12/40) + 20/40 = (15 + 12 + 20) / 40 = 47/40 = 1 7/40

Step 4: Combine the results from Step 3 and Step 4. -5/432 + 1 7/40 = -5/432 + (40/40)(1 7/40) = -5/432 + 40/40(1) + 7/40 = -5/432 + 40/40 + 7/40 = -5/432 + 47/40 To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 432 and 40 is 4320. -5/432 + 47/40 = (-5/432)(10/10) + (47/40)(108/108) = -50/4320 + 5088/4320 = 5038/4320

Step 5: Simplify the fraction. 5038/4320 = 2519/2160 = (7 * 359)/(7 * 308) = 359/308

Therefore, the value of the given expression is 359/308.