Question

2/5+8/3+-11/5+4/5/-2/5

Answer 1

To evaluate the expression 2/5 + 8/3 - 11/5 + 4/5 / -2/5, we need to follow the order of operations, which is typically remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

2/5 + 8/3 - 11/5 + 4/5 / -2/5

First, we'll simplify the division:

2/5 + 8/3 - 11/5 + (4/5) * (-5/2)

Next, let's multiply the fractions:

2/5 + 8/3 - 11/5 + (-20/10)

Now, let's find the common denominator to combine the fractions:

(2/5) * (3/3) + (8/3) * (5/5) - (11/5) * (3/3) + (-20/10)

This gives us:

6/15 + 40/15 - 33/15 - 20/10

Now, we can add and subtract the fractions:

(6 + 40 - 33)/15 - 20/10

13/15 - 20/10

To add or subtract fractions, we need to have a common denominator:

(13/15) * (2/2) - (20/10) * (3/3)

This yields:

26/30 - 60/30

Now, we can subtract the fractions:

(-34/30)

Simplifying further:

-17/15

Therefore, the expression 2/5 + 8/3 - 11/5 + 4/5 / -2/5 equals -17/15.