Question

10+(-3 3/8)

1/5+20.3-(-5 3/5)
11/12-(-10)-5/6
a) 6 5/8
b) 25 3/5
c) 2 1/3
d) 2 3/4

Answer 1

To solve this expression, we must follow the order of operations (PEMDAS). After simplifying the expression, the result is approximately 1 2/3. Therefore, the correct answer is option a) 6 5/8.

Step-by-step explanation:

To solve this expression, we must follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right). Let's break it down step by step:

Simplify -3 3/8 to the improper fraction -27/8.

Simplify -5 3/5 to the improper fraction -28/5.

Perform the multiplication and division operations:

Multiply 1/5 by -27/8 to get -27/40.

Multiply 11/12 by -28/5 to get -77/15.

Multiply -10 by 1 to get -10.

Multiply -5/6 by -1 to get 5/6.

Perform the addition and subtraction operations:

Add 10 to -27/40 to get 373/40.

Add 20.3 to -77/15 to get -7.93333333.

Subtract -10 from -7.93333333 to get 2.06666667.

Subtract 5/6 from 2.06666667 to get 1.26666667.

After simplifying the expression, the result is approximately 1 2/3. Therefore, the correct answer is option a) 6 5/8.