Question

find the sum
$4 \div 7 + - 4 \div 9 + 3 \div 7 + - 13 \div 9$
​

Answer 1

Answer:-

$\\ \rm\longmapsto \dfrac{4}{7}+(-\dfrac{4}{9})+\dfrac{3}{7}+(-\dfrac{13}{9})$

$\\ \rm\longmapsto \dfrac{4}{7}-\dfrac{4}{9}+\dfrac{3}{7}-\dfrac{13}{9}$

• Combine Like variables

$\\ \rm\longmapsto \dfrac{4}{7}+\dfrac{3}{7}-\dfrac{4}{9}-\dfrac{13}{9}$

• Take LCM

$\\ \rm\longmapsto \dfrac{4+3}{7}-\dfrac{4-13}{9}$

$\\ \rm\longmapsto \dfrac{7}{7}-(\dfrac{-9}{9})$

$\\ \rm\longmapsto 1-(-1)$

$\\ \rm\longmapsto 1+1$

$\\ \rm\longmapsto 2$

Answer 2

Step-by-step explanation:

Answer:-

\begin{gathered}\\ \rm\longmapsto \dfrac{4}{7}+(-\dfrac{4}{9})+\dfrac{3}{7}+(-\dfrac{13}{9})\end{gathered}

⟼

7

4

+(−

9

4

)+

7

3

+(−

9

13

)

\begin{gathered}\\ \rm\longmapsto \dfrac{4}{7}-\dfrac{4}{9}+\dfrac{3}{7}-\dfrac{13}{9}\end{gathered}

⟼

7

4

−

9

4

+

7

3

−

9

13

Combine Like variables

\begin{gathered}\\ \rm\longmapsto \dfrac{4}{7}+\dfrac{3}{7}-\dfrac{4}{9}-\dfrac{13}{9}\end{gathered}

⟼

7

4

+

7

3

−

9

4

−

9

13

Take LCM

\begin{gathered}\\ \rm\longmapsto \dfrac{4+3}{7}-\dfrac{4-13}{9}\end{gathered}

⟼

7

4+3

−

9

4−13

\begin{gathered}\\ \rm\longmapsto \dfrac{7}{7}-(\dfrac{-9}{9})\end{gathered}

⟼

7

7

−(

9

−9

)

\begin{gathered}\\ \rm\longmapsto 1-(-1)\end{gathered}

⟼1−(−1)

\begin{gathered}\\ \rm\longmapsto 1+1\end{gathered}

⟼1+1

\begin{gathered}\\ \rm\longmapsto 2\end{gathered}

⟼2