Question

[5/4 + - 1/2] +[-3/2] =​

Answer 1

Answer:

$\left[\dfrac{5}{4}+\dfrac{-1}{2}\right]+\left[\dfrac{-3}{2}\right]$ is $\dfrac{-3}{4}$

Step-by-step explanation:

The addition of two fractions $\frac{a}{b}$ and $\frac{c}{d}$ is,

$\dfrac{a}{b}+ \dfrac{c}{d}=\dfrac{ad+bc}{bd}$

We can add the given fractions using the above formula.

$\dfrac{5}{4}+\dfrac{-1}{2} = \dfrac{5\times 2+4\times (-1)}{4\times 2}=\dfrac{10-4}{8}=\dfrac{6}{8}=\dfrac{3}{4}$

Now we need to add the above answer with $\frac{-3}{2}$

Using the formula again, we have

$\dfrac{3}{4}+\dfrac{-3}{2}=\dfrac{3\times 2+4\times (-3)}{4\times 2}=\dfrac{6-12}{8}=\dfrac{-6}{8}=\dfrac{-3}{4}$

Hence the solution after addition is

$\left[\dfrac{5}{4}+\dfrac{-1}{2}\right]+\left[\dfrac{-3}{2}\right]=\dfrac{-3}{4}$