Question

5/12×(1/5+3/25)и -13×6+53

Answer 1

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Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The expression is:

5/12 × (1/5 + 3/25) - 13 × 6 + 53

Step 1: Simplify the expression inside the parentheses first.

1/5 + 3/25 = (5/25) + (3/25) = 8/25

Step 2: Calculate the multiplication inside the parentheses.

5/12 × 8/25 = (5 × 8) / (12 × 25) = 40 / 300 = 2 / 15

Now the expression becomes:

2/15 - 13 × 6 + 53

Step 3: Continue with multiplication and division from left to right.

-13 × 6 = -78

Now the expression becomes:

2/15 - 78 + 53

Step 4: Finally, perform addition and subtraction from left to right.

2/15 - 78 + 53 = -76 + 53 = -23

Therefore, the result of the expression is -23.