Question

13/8:26/100+1 1/4 29/7:(2/7+3/4) (5/6+7/15)*30/13

Answer 1

Ответ:

Пошаговое объяснение:

13/8:26/100+1 1/4=7 1/2

13/8:26/100=13/8*100/26=25/4=6 1/4

6 1/4+1 1/4=7 1/2

29/7:(2/7+3/4)=4

2/7+3/4=8/28+21/28=29/28

29/7:29/28=29/7*28/29=4

(5/6+7/15)*30/13=3

5/6+7/15=25/30+14/30=39/30

39/30*30/13=3

Answer 2

Let's simplify the given expression step by step:

1. 13/8:26/100 + 1 1/4 To perform division, we can multiply the first fraction by the reciprocal of the second fraction: (13/8) * (100/26) + 1 1/4

   Now, let's convert 1 1/4 to an improper fraction: 1 1/4 = (4*1 + 1)/4 = 5/4

   Substituting back into the expression: (13/8) * (100/26) + 5/4

   Now, let's simplify the fractions: (13/8) * (25/13) + 5/4 = 25/8 + 5/4

   To add the fractions, we need a common denominator, which is 8: (25/8) + (10/8) = (25 + 10)/8 = 35/8

2. 29/7:(2/7 + 3/4) To perform division, we can multiply the first fraction by the reciprocal of the sum of the fractions in the denominator: (29/7) * (1 / (2/7 + 3/4))

   Now, let's find the common denominator for the fractions in the denominator (4): (29/7) * (1 / ((22)/(72) + 3/4))

   (29/7) * (1 / (4/14 + 3/4))

   (29/7) * (1 / (4/14 + 42/14))

   (29/7) * (1 / (46/14))

   Now, let's find the reciprocal of the fraction in the denominator: (29/7) * (14/46)

   Simplifying the fraction: (29/7) * (7/23) = 29/23

3. (5/6 + 7/15) * 30/13 To add the fractions, we need a common denominator, which is 30: (25/30 + 14/30) * 30/13

   Now, let's multiply the fractions in the parentheses: (39/30) * 30/13

   The 30s cancel out: 39/13

So, the final simplified expression is: 35/8 + 29/23 + 39/13