Question

Subtract the sum of 2/3 and - 1/3 from the sum of 5/7and - 4/7​

Answer 1

Answer:

4/21

Step-by-step explanation:

2/3-1/3=1/3

5/7-4/7=1/7

1/3-1/7= 4/21

Answer 2

Question: Subtract the sum of $\sf\frac{2}{3} \:and \: \frac{- 1}{3} \:from \:the\: sum \:of \:\frac{5}{7}\:and \:\frac{- 4}{7}$

Answer:

• First, sum of $\sf\frac{2}{3} \:and \: \frac{- 1}{3}$

⠀⠀⠀⠀⠀⠀(LCM is same so next step)

➛$\sf\frac{2+(-1)}{3}$

➛$\sf\frac{2}{3}$

• The sum of $\sf\frac{5}{7}$and $\sf\frac{-4}{7}$

⠀⠀⠀(Again LCM is same so next step)

➛$\sf\frac{5+(-4)}{7}$

➛$\sf\frac{1}{7}$

• Now, subtract $\sf\frac{2}{3}and \sf\frac{1}{7}$

⠀⠀⠀⠀⠀⠀ (In this, LCM is not same)

$\{\begin{tabular}{ c | c} \cline{1-2}\sf{3} & \sf{7-1} \\ \cline{1-2}\sf{7} & \sf{7-1}\\ \cline{1-2}\sf{} & \sf{1-1}\\ \end{tabular}}$

➛LCM = 21

➛$\sf\frac{2-1}{21}$

➛$\sf\frac{1}{21}$