Question

Add the rational numbers -2/3 and 4/5

Answer 1

$\frac{ - 2}{3} + \frac{4}{5} \: \: \\ firstly \: we \: can \: take \: lcm of \: both \: denominators \\ \\ now \\ \frac{ - 10}{ \: \: \: 15 } + \frac{12}{15} = \frac{ - 2}{15} answer$

so answer is -2/15

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Answer 2

Given data: The rational numbers $\frac{-2}{3},\frac{4}{5}$

To Find: The addition of the rational numbers $\frac{-2}{3},\frac{4}{5}$

Solution:

Consider the given rational numbers $\frac{-2}{3},\frac{4}{5}$

Add the rational numbers,

$\frac{-2}{3}+\frac{4}{5}$

Since, the denominators are not same, take LCM.

To find LCM, multiply the denominators,

$3$×$5$=$15$

LCM$=15$, multiply the first term and second term of the numerator and denominator by 5 and 3 respectively.

$\frac{-2}{3}+\frac{4}{5}$ $=\frac{-2}{3}$×$\frac{5}{5}+\frac{4}{5}$×$\frac{3}{3}$

$\frac{-2}{3}+\frac{4}{5}$ $=\frac{-10}{15}+\frac{12}{15}$

Hence, both the denominators are same, add the numerator,

$\frac{-2}{3}+\frac{4}{5}=\frac{-10+12}{15}$

$\frac{-2}{3}+\frac{4}{5}=\frac{2}{15}$

Therefore, the addition of rational numbers $\frac{-2}{3}$ and $\frac{4}{5}$ is $\frac{2}{15}$.