Question

(2/5+7/12)•30/43-(2:2целых1/2)•5/32 =

Answer 1

(2/5 + 7/12) * 30/43 - (2 : 2 1/2) * 5/32 = 193/344
1) 2 : 2 1/2 = 2/1 : 5/2 = 2/1 * 2/5 = 4/5
2) 2/5 + 7/12 = (12*2 + 5*7)/60 = 59/60
3) 59/60 * 30/43 = 59/86
4) 4/5 * 5/32 = 1/8
5) 59/86 - 1/8 = (4*59 - 43*1)/344 = 193/344

Answer 2

Let's solve this step by step:

1. Calculate (2/5 + 7/12): To add fractions, we need a common denominator. In this case, the common denominator is 60 (the least common multiple of 5 and 12).

   (2/5) * (12/12) = 24/60 (7/12) * (5/5) = 35/60

   Now add the fractions: 24/60 + 35/60 = 59/60

2. Calculate (2:2 целых 1/2): This is division. Divide 2 by 2 and add the whole number 1.

   2 / 2 = 1 1 + 1 = 2

3. Calculate (2:2 целых 1/2) • 5/32: Multiply 2 by 5 and then divide by 32.

   2 * 5 = 10 10 / 32 = 5/16

4. Now plug in the calculated values into the original expression:

   (59/60) • (30/43) - (5/16)

   Next, multiply the fractions:

   (59/60) * (30/43) ≈ 1.276453

5. Subtract the last result from the value obtained in step 3:

   1.276453 - 5/16 ≈ 1.276453 - 0.3125 ≈ 0.963953

So, the final result is approximately 0.963953.