Question

2•(4/15+3/10)•1_3/17=​

Answer 1

Ось так))))))))))))))))

Answer 2

To simplify the expression 2 * (4/15 + 3/10) * 1_3/17, follow these steps:

Step 1: Add the fractions inside the parentheses. 4/15 + 3/10 = (8/30) + (9/30) = 17/30

Step 2: Multiply the result from step 1 by 2. 2 * (17/30) = 34/30

Step 3: Convert the mixed number 1_3/17 to an improper fraction. 1_3/17 = (17 * 1 + 3)/17 = 20/17

Step 4: Multiply the result from step 2 by the result from step 3. (34/30) * (20/17)

Step 5: Simplify the resulting fraction. To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.

GCD of 34 and 30 is 2. GCD of 20 and 17 is 1.

Now, divide both the numerator and denominator by their respective GCDs:

(34/2) / (30/2) * (20/1) / (17/1)

This simplifies to:

(17/15) * (20/17)

Step 6: Multiply the fractions. (17/15) * (20/17) = (17 * 20) / (15 * 17)

Step 7: Cancel out common factors in the numerator and denominator. The 17 in the numerator and the denominator can cancel out, leaving you with:

20/15

Step 8: Simplify the fraction. To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 5.

(20/5) / (15/5) = 4/3

So, 2 * (4/15 + 3/10) * 1_3/17 is equal to 4/3.