Question

[nguyễn trúc linh]

 1)Công ,trừ ,phân chia hai phân số

a)\(\frac{\left(-3\right)}{16}+\frac{1}{15}\)                                  b) \(\frac{\left(-15\right)}{24}-\frac{\left(-2\right)}{6}\)

c)\(\frac{\left(-16\right)}{18}.\frac{36}{\left(-40\right)}\)                            d) \(\frac{\left(-17\right)}{30}:\frac{34}{60}\)

2) Đổi  hỗn số thành phân số rồi tính kết quả 

a)  \(1\frac{3}{5}+2\frac{1}{6}\)          b)\(3\frac{1}{7}-1\frac{1}{8}\)           c) \(3\frac{1}{6}.2\frac{1}{4}\)                    d) \(4\frac{1}{5}:3\frac{6}{7}\)

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Answer 1

[Trường]

Bài 1: 

a) \(\frac{\left(-3\right)}{16}+\frac{1}{15}=\frac{-45}{240}+\frac{16}{240}\) 

\(=\frac{-29}{240}\) 

b)\(\frac{\left(-15\right)}{24}-\frac{\left(-2\right)}{6}=\frac{\left(-15\right)}{24}-\frac{-8}{24}\) 

\(=\frac{-7}{24}\) 

c) \(\frac{\left(-16\right)}{18}\cdot\frac{36}{\left(-40\right)}=\frac{\left(-8\right)}{9}\cdot\frac{\left(-9\right)}{10}\) 

\(=\frac{\left(-80\right)}{90}\cdot\frac{\left(-81\right)}{90}\)

\(=\frac{4}{5}\)

d)\(\frac{\left(-17\right)}{30}:\frac{34}{60}=\frac{\left(-17\right)}{30}:\frac{17}{30}\) 

\(=\frac{\left(-17\right)}{30}\cdot\frac{30}{17}\) 

\(=-1\) 

Bài 2:

a) \(1\frac{3}{5}+2\frac{1}{6}=\frac{8}{5}+\frac{13}{6}=\frac{48}{30}+\frac{65}{30}\) 

\(=\frac{113}{30}\) 

b) \(3\frac{1}{7}-1\frac{1}{8}=\frac{22}{7}-\frac{9}{8}=\frac{176}{56}-\frac{63}{56}\) 

\(=\frac{113}{56}\) 

c) \(3\frac{1}{6}\cdot2\frac{1}{4}=\frac{19}{6}\cdot\frac{9}{4}=\frac{57}{8}\) 

d) \(4\frac{1}{5}:3\frac{6}{7}=\frac{21}{5}:\frac{27}{7}=\frac{21}{5}\cdot\frac{7}{27}\) 

\(=\frac{49}{45}\)

Answer 2

[Toàn Nguyễn Quang]

a \(\frac{-3}{16}+\frac{1}{15}=\frac{-45}{240}+\frac{16}{240}=\frac{-29}{240}\)

b \(\frac{-15}{24}-\frac{-2}{6}=\frac{-15}{24}-\frac{-8}{24}=\frac{-7}{24}\)

c \(\frac{-16}{18}.\frac{36}{-40}=\frac{4}{5}\)

d \(\frac{-17}{30}:\frac{34}{60}=\frac{-17}{30}.\frac{60}{34}=-1\)

bai 2

\(1\frac{3}{5}+2\frac{1}{6}=\frac{8}{5}+\frac{13}{6}=\frac{113}{30}\)

\(3\frac{1}{7}-1\frac{1}{8}=\frac{22}{7}-\frac{9}{8}=\frac{113}{56}\)

c \(3\frac{1}{6}.2\frac{1}{4}=\frac{19}{6}.\frac{9}{4}=\frac{57}{8}\)

d \(4\frac{1}{5}:3\frac{6}{7}=\frac{21}{5}:\frac{27}{7}=\frac{21}{5}.\frac{7}{27}=\frac{147}{135}\)