Question

Fill in the blanks:
(i) $\frac{-4}{13}-\frac{-3}{26}=....$
(ii) $\frac{-9}{14}+....=-1$
(iii) $\frac{-7}{9}+....=3$
(iv) $....+\frac{15}{23}=4$

Answer 1

(i) $\frac{-4}{13}-\frac{-3}{26}=\frac{-4\times 2}{13\times 2}-\frac{-3}{26}=\frac{-8+3}{26}=\frac{-5}{26}$
$$\begin{gathered} \left(\mathrm{ii}\right)\frac{-9}{14}+\mathrm{x}=-1 \\ \Rightarrow \mathrm{x}=-1-\frac{-9}{14}=\frac{-14+9}{14}=\frac{-5}{14} \\ \left(\mathrm{iii}\right)\frac{-7}{9}+\mathrm{x}=3 \\ \Rightarrow \mathrm{x}=\frac{3\times 9}{1\times 9}-\frac{-7}{9}=\frac{27+7}{9}=\frac{34}{9} \end{gathered}$$

(iv)
$$\begin{gathered} x+\frac{15}{23}=4 \\ \Rightarrow x=4-\frac{15}{23}=\frac{4\times 23}{1\times 23}-\frac{15}{23}=\frac{92-15}{23}=\frac{77}{23} \end{gathered}$$