Question

8/15(15а - 15/16) - 7а + 1/2

Answer 1

Ответ:

a

Пошаговое объяснение:

8/15(15а - 15/16) - 7а + 1/2=8/15*15a-8/15* 15/16-7a+ 1/2=8a - 1/2 -7a+ 1/2=a

Answer 2

To simplify the expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses E: Exponents MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

The given expression is:

8/15(15a - 15/16) - 7a + 1/2

Step 1: Simplify inside the parentheses 15a - 15/16

Step 2: Multiply 8/15 by the simplified expression 8/15 * (15a - 15/16)

To multiply a fraction by an expression, distribute the fraction to each term inside the parentheses:

(8/15) * 15a - (8/15) * 15/16

Step 3: Simplify each term

(8/15) * 15a = 8/15 * 15/1 * a/1 = 8a

(8/15) * 15/16 = 2/3 * 1/16 = 1/24

The expression now becomes:

8a - 1/24 - 7a + 1/2

Step 4: Combine like terms

(8a - 7a) = a

The expression now becomes:

a - 1/24 + 1/2

Step 5: Find a common denominator and add the fractions

The common denominator for 24 and 2 is 24:

(a * 24/24) - (1/24) + (12/24)

Now, the expression is:

(24a - 1 + 12)/24

Step 6: Combine the constants

(24a + 11)/24

So, the simplified expression is (24a + 11)/24.