Question

(11,25-3 5/12+4,3-7 19/30):(7 7/12-5 5/6)​

Answer 1

Ответ:

Пошаговое объяснение:

1) 11,25 - 3 5/12 = 11 1/4 - 3 5/12 = 11 3/12 - 3 5/12 = 10 15/12 - 3 5/12 = 7 10/12 = 7 5/6

2) 7 5/6 + 4,3 = 7 5/6 + 4 3/10 = 7 25/30 + 4 9/30 = 11 34/30 

3) 11 34/30 - 7 19/30 = 4 15/30 = 4 1/2

4) 7 7/12 - 5 5/6 = 6 19/12 - 5 10/12 = 1 9/12 = 1 3/4

5) 4 1/2 : 1 3/4 = 9/2 : 7/4 = 9/2 * 4/7 = (9*2)/(1*7) = 18/7 = 2 4/7

Answer 2

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

Step 1: Simplify the numerator. 11 25/12 - 3 5/12 + 4 3/7 - 7 19/30

Convert all the mixed fractions to improper fractions: (1112 + 25)/12 - (312 + 5)/12 + (47 + 3)/7 - (730 + 19)/30 (132 + 25)/12 - (36 + 5)/12 + (28 + 3)/7 - (210 + 19)/30 (157)/12 - (41)/12 + (31)/7 - (229)/30

Step 2: Simplify the denominator. 7 7/12 - 5 5/6

Convert all the mixed fractions to improper fractions: (712 + 7)/12 - (56 + 5)/6 (84 + 7)/12 - (30 + 5)/6 (91)/12 - (35)/6

Step 3: Divide the numerator by the denominator. ((157)/12 - (41)/12 + (31)/7 - (229)/30) / ((91)/12 - (35)/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: ((157)/12 - (41)/12 + (31)/7 - (229)/30) * ((12)/(91) - (6)/(35))

Now, let's simplify the expression:

[(15712 - 4112 + 3112 - 22912) / (1291 - 1235)] * [(12)/(91) - (6)/(35)]

[(1884 - 492 + 372 - 2748) / (1092 - 420)] * [(12)/(91) - (6)/(35)] (16 / 672) * [(12)/(91) - (6)/(35)]

Simplify the fraction: (1 / 42) * [(12)/(91) - (6)/(35)]

Next, let's find a common denominator for the terms in the brackets, which is 91 * 35 = 3185:

(1 / 42) * [(12 * 35)/(91 * 35) - (6 * 91)/(35 * 91)] (1 / 42) * [(420)/(3185) - (546)/(3185)] (1 / 42) * [(420 - 546)/(3185)] (1 / 42) * [(-126)/(3185)]

Finally, divide the numerator by the denominator: (1 * -126) / (42 * 3185) -126 / 133470

The simplified value of the expression is approximately -0.000944.