Question

(12-3 3/5*2 1/12) /3 3/8

Answer 1

Ответ:

Пошаговое объяснение:

3 3/5*2 1/12=18/5*25/12=15/2=7,5

15-7,5=7,5

7,5:3 3/8=15/2*8/27=20/9=2 2/9

Answer 2

Let's break down the expression step by step:

1. First, calculate the value inside the parentheses: 12 - 3 = 9

   Now, we need to calculate the value of 3/5 multiplied by 2 1/12. To do this, first convert 2 1/12 to an improper fraction:

   2 1/12 = (2 * 12 + 1) / 12 = 25/12

   Now, multiply 3/5 by 25/12:

   (3/5) * (25/12) = (3 * 25) / (5 * 12) = 75/60 = 5/4

   So, 3/5 multiplied by 2 1/12 is equal to 5/4.

2. Now, we can substitute this value back into the expression:

   9 - 5/4

3. Finally, divide the result by 3 3/8. To do this, convert 3 3/8 to an improper fraction:

   3 3/8 = (3 * 8 + 3) / 8 = 27/8

   Now, divide 9 - 5/4 by 27/8:

   (9 - 5/4) / (27/8)

   To divide by a fraction, you can multiply by its reciprocal:

   (9 - 5/4) * (8/27)

   Now, perform the multiplication:

   (36/4 - 5/4) * (8/27)

   (31/4) * (8/27)

   To multiply fractions, multiply the numerators together and the denominators together:

   (31 * 8) / (4 * 27)

   248 / 108

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

   (248 / 4) / (108 / 4)

   62 / 27

So, the result of the expression is 62/27.