Question

(2 7/30-3 1/5*7/12)*7 1/2

Answer 1

Надеюсь, что все сделала правильно, и что ты разберешь мой почерк.
ответ: 11/28

Answer 2

Ответ:

2,75

Пошаговое объяснение:

(2 7/30-3 1/5*7/12)*7 1/2=

1) 3 1/5*7/12=16/5*7/12=28/15=1 13/15

2) 2 7/30-1 13/15=2 7/30-1 26/30=1 37/30-1 26/30=11/30

3) 11/30*7 1/2= 11/30*15/2=11/4=2,75

Answer 3

Let's break down the expression step by step:

1. Start with the innermost operations:

   • 3 1/5 * 7/12 = (16/5) * (7/12)
   • Convert the mixed numbers to improper fractions: (16/5) * (7/12)
   • Multiply the numerators and denominators: (16 * 7) / (5 * 12) = 112/60

2. Now, the expression becomes: 2 7/30 - 112/60

3. Find a common denominator for the subtraction:

   • The denominators are 30 and 60, which have a common multiple of 60.

4. Convert 2 7/30 to an improper fraction:

   • 2 * 30 = 60 + 7 = 67
   • The improper fraction is 67/30

5. Rewrite the expression with a common denominator:

   • 67/30 - 112/60

6. Now, subtract the fractions:

   • (67/30) - (112/60) = (2 * 67 - 112) / 60 = (134 - 112) / 60 = 22 / 60

7. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:

   • 22 / 60 = (22 ÷ 2) / (60 ÷ 2) = 11/30

8. Finally, multiply the result by 7 1/2:

   • 11/30 * 7 1/2

9. Convert 7 1/2 to an improper fraction:

   • 7 * 2 = 14 + 1 = 15
   • The improper fraction is 15/2

10. Multiply the fractions:

• (11/30) * (15/2) = (11 * 15) / (30 * 2) = 165/60

11. Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 5:

• 165/60 = (165 ÷ 5) / (60 ÷ 5) = 33/12

12. Further simplify the fraction by dividing both the numerator and denominator by their GCD, which is 3:

• 33/12 = (33 ÷ 3) / (12 ÷ 3) = 11/4

So, the final result of the expression is 11/4.