Question

-5 3/8+4 5/6-(-2 1/4)=

Answer 1

-43/8+29/6+9/4 = -129/24+116/24+54/24=41/24= 1 17/24

Answer 2

To solve this expression, we can follow these steps:

1. Convert all the mixed numbers to improper fractions.
2. Distribute the negative sign through the parentheses.
3. Perform the arithmetic operations.

Let's start by converting the mixed numbers to improper fractions:

-5 3/8 = -((8 * 5) + 3) / 8 = -43/8 4 5/6 = (6 * 4) + 5 / 6 = 29/6 -2 1/4 = -((4 * 2) + 1) / 4 = -9/4

Now let's distribute the negative sign through the parentheses:

-(-9/4) = 9/4

Now we have:

-43/8 + 29/6 + 9/4

To add these fractions, we need a common denominator. The least common multiple of 8, 6, and 4 is 24. Let's rewrite the fractions with a common denominator:

-43/8 = -((3 * 8) + 7) / 24 = -211/24 29/6 = (4 * 29) + 1 / 24 = 175/24 9/4 = (6 * 9) + 1 / 24 = 55/24

Now we can add the fractions:

-211/24 + 175/24 + 55/24 = 19/24

So, the result of the expression is 19/24.