Bài 42 trang 26 SGK Toán 6 tập 2

Cộng các phân số (rút gọn nếu có thể).

a) \(\dfrac{7}{-25}+\dfrac{-8}{25}\) 

b) \(\dfrac{1}{6}+\dfrac{-5}{6}\)

c) \(\dfrac{6}{13}+\dfrac{-14}{39}\)

d) \(\dfrac{4}{5}+\dfrac{4}{-18}\)

Lời giải

\( \displaystyle a)\,\,\,{7 \over { - 25}} + {{ - 8} \over {25}} = {{ - 7} \over {25}} + {{ - 8} \over {25}} \)\(\displaystyle = {{\left( { - 7} \right) + \left( { - 8} \right)} \over {25}} \)\( \displaystyle = {{ - 15} \over {25}} = {{ - 3} \over 5}  \) 

\( \displaystyle b)\,\,{1 \over 6} + {{ - 5} \over 6} = {{1 + \left( { - 5} \right)} \over 6} = {{ - 4} \over 6} = {{ - 2} \over 3} \)

\( \displaystyle c)\,\,{6 \over {13}} + {{ - 14} \over {39}} = {{18} \over {39}} + {{ - 14} \over {39}} \)\( \displaystyle = {{18 + \left( { - 14} \right)} \over {39}}  = {4 \over {39}} \)

\( \displaystyle d)\,\,{4 \over 5} + {4 \over { - 18}} \)\( \displaystyle = {4 \over 5} + {{ - 4} \over {18}} = {4 \over 5} + {{ - 2} \over 9}  \) 

\( \displaystyle = {{36} \over {45}} + {{ - 10} \over {45}}= {{36 + \left( { - 10} \right)} \over {45}} = {{26} \over {45}} \)


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