Question

Add 1 and 1/3 + (-5/6)

Answer 1

1/2

Step-by-step explanation:

Let's remember how to sum 2 fractions:

`(a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d)`

So, 1/3 + (-5/6)​ is equal to:

`(1)/(3)+(-5)/(6)=((1\cdot6)+3\cdot(-5))/(3\cdot6)=(6-15)/(18)=(-9)/(18)`

Then, the addition of 1 and -9/18 is equal to:

`1+(-9)/(18)=(1)/(1)+(-9)/(18)=((1\cdot18)+1\cdot(-9))/(1\cdot18)=(18-9)/(18)=(9)/(18)`

Now, we can divide the numerator and the denominator by 9 to get an equivalent fraction, so:

`(9)/(18)=(9/9)/(18/9)=(1)/(2)`

Therefore, the answer is 1/2