Question

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

Answer 1

Answer:

1/2

Explanation:

Let's remember how to sum 2 fractions:

$\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}$

So, 1/3 + (-5/6)​ is equal to:

$\frac{1}{3}+\frac{-5}{6}=\frac{(1\cdot6)+3\cdot(-5)}{3\cdot6}=\frac{6-15}{18}=\frac{-9}{18}$

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

$1+\frac{-9}{18}=\frac{1}{1}+\frac{-9}{18}=\frac{(1\cdot18)+1\cdot(-9)}{1\cdot18}=\frac{18-9}{18}=\frac{9}{18}$

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

$\frac{9}{18}=\frac{9\div9}{18\div9}=\frac{1}{2}$

Therefore, the answer is 1/2