Question

5/6-(7/18+2/15)=решите пожалуйста

Answer 1

5/6-7/18-2/15=
=15/18-7/18-2/15=
=8/18-2/15= 4/9-2/15=
=20/45-6/45= 14/45

Answer 2

To solve the equation 5/6 - (7/18 + 2/15), we can follow these steps:

Step 1: Simplify the expression inside the parentheses. - 7/18 + 2/15 can be simplified by finding a common denominator, which is 90. - Multiply the numerator and denominator of 7/18 by 5 to get 35/90. - Multiply the numerator and denominator of 2/15 by 6 to get 12/90. - Now, the expression becomes 35/90 + 12/90.

Step 2: Combine the fractions. - Since the denominators are the same, we can add the numerators together. - 35/90 + 12/90 = 47/90.

Step 3: Subtract the combined fraction from 5/6. - 5/6 - 47/90 can be simplified by finding a common denominator, which is 90. - Multiply the numerator and denominator of 5/6 by 15 to get 75/90. - Now, the expression becomes 75/90 - 47/90.

Step 4: Subtract the fractions. - Since the denominators are the same, we can subtract the numerators. - 75/90 - 47/90 = 28/90.

Step 5: Simplify the fraction. - The fraction 28/90 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. - 28/90 simplifies to 14/45.

Therefore, the solution to the equation 5/6 - (7/18 + 2/15) is 14/45.

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