Question

4/45:(12/25-4/15)+ 15/16*4/15

Answer 1

Ответ 1/2. Удачного дня!

Answer 2

12\25-4\15=12*3\75-4*5/75=36\75-20\75=16\75
4\45:16\75=4\45*75\16=5\12
15\16*4\15=1\4
5\12+1\4=5\12+3\12=6\12=1\2
ответ 1\2

Answer 3

To simplify the given expression, follow these steps:

1. Start with the expression: 4/45 : (12/25 - 4/15) + 15/16 * 4/15.

2. First, simplify the expressions within the parentheses and the multiplication:

   12/25 - 4/15 = (12/25 * 3/3) - (4/15 * 5/5) = (36/75) - (20/75) = (36 - 20)/75 = 16/75

   15/16 * 4/15 = (15/15) * (4/16) = 1 * 1/4 = 1/4

3. Now that you have simplified the expressions in the parentheses and the multiplication, your expression becomes:

   4/45 : (16/75) + 1/4

4. To divide by a fraction (a/b), you can multiply by its reciprocal (b/a), so the expression becomes:

   4/45 * (75/16) + 1/4

5. Now, multiply the fractions:

   (4/45) * (75/16) = (4 * 75) / (45 * 16) = 300/720

6. Reduce the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 60:

   (300/60) / (720/60) = 5/12

7. Now, add 5/12 to 1/4:

   5/12 + 1/4

8. To add these fractions, you need a common denominator, which is 12 in this case:

   (5/12) + (3/12) = 8/12

9. Finally, reduce the fraction to its simplest form by dividing both the numerator and denominator by their GCD, which is 4:

   (8/4) / (12/4) = 2/3

So, the simplified value of the given expression is 2/3.