- Hỗn số (có lời giải chi tiết)

Câu 1 : Cho hình vẽ như sau:Hỗn số thích hợp cho đối với hình vẽ đã cho là:

A \(1\frac{1}{2}\)

B \(2\frac{1}{2}\)

C \(2\frac{1}{3}\)

D \(1\frac{1}{3}\)

Câu 2 : Hỗn số \(1\frac{3}{4}\) được đọc là:

A Ba một phần tư

B Bốn một phần ba

C Một ba phần tư

D Hai ba phần tư

Câu 3 : Phần nguyên của hỗn số \(5\frac{4}{9}\) là:

A 5

B 4

C 9

D 3

Câu 4 : Phần phân số của hỗn số \(4\frac{7}{{15}}\) là:

A \(\frac{4}{{15}}\)

B \(\frac{{15}}{7}\)

C \(\frac{{15}}{4}\)

D \(\frac{7}{{15}}\)

Câu 5 : Hỗn số \(6\frac{2}{5}\) được viết dưới dạng phân số là:

A \(\frac{5}{{32}}\)

B \(\frac{{17}}{5}\)

C \(\frac{{32}}{5}\)

D \(\frac{{16}}{5}\)

Câu 6 : Khi chuyển phân số \(\frac{{58}}{9}\) thành hỗn số ta được hỗn số có phần nguyên là:

A \(5\frac{4}{9}\)

B \(5\frac{{13}}{9}\)

C \(6\frac{7}{9}\)

D \(6\frac{4}{9}\)

Câu 7 : Điền dấu thích hợp vào chỗ chấm: \(3\frac{4}{5} \cdot \cdot \cdot 3\frac{5}{6}\)

A \( < \)

B \( > \)

C \( = \)

D không so sánh được

Câu 8 : Cho các phép tính :\(a)\,\,1\frac{1}{7} + 3\frac{5}{7} = \frac{{...}}{7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,5\frac{2}{{15}} - 1\frac{8}{{15}} = \frac{{...}}{{15}}\)Các số được điền vào các chỗ trống lần lượt là:

A 34; 18

B 34; 54

C 54; 34

D 18; 34

Câu 9 : Chuyển các hỗn số sau thành phân số:\(a)\;1\frac{2}{7}\) \(b)\;3\frac{2}{5}\) \(c)\;6\frac{7}{8}\)\(d)\;3\frac{8}{{17}}\) \(e)\;11\frac{4}{{15}}\) \(f)\;16\frac{{10}}{{21}}\)

A \(a)\;\frac{9}{7}\) \(b)\;\frac{{17}}{5}\) \(c)\;\frac{{55}}{8}\)

\(d)\;\frac{{59}}{{17}}\) \(e)\;\frac{{169}}{{15}}\) \(f)\;\frac{{346}}{{21}}\)

B \(a)\;\frac{9}{7}\) \(b)\;\frac{5}{{17}}\) \(c)\;\frac{{55}}{8}\)

\(d)\;\frac{{17}}{{59}}\) \(e)\;\frac{{169}}{{15}}\) \(f)\;\frac{{346}}{{21}}\)

C \(a)\;\frac{9}{7}\) \(b)\;\frac{{17}}{5}\) \(c)\;\frac{8}{{55}}\)

\(d)\;\frac{{59}}{{17}}\) \(e)\;\frac{{15}}{{169}}\) \(f)\;\frac{{21}}{{346}}\)

D \(a)\;\frac{7}{9}\) \(b)\;\frac{{17}}{5}\) \(c)\;\frac{{55}}{8}\)

\(d)\;\frac{{59}}{{17}}\) \(e)\;\frac{{169}}{{15}}\) \(f)\;\frac{{346}}{{21}}\)

Câu 10 : Chuyển các phân số sau thành hỗn số: \(\begin{array}{l}a)\,\,\frac{{11}}{4} & & & & & b)\,\,\frac{{41}}{6} & & & & & c)\,\,\frac{{77}}{9}\\d)\,\,\frac{{82}}{5} & & & & & e)\,\,\frac{{123}}{{14}} & & & & & f)\,\,\frac{{235}}{{24}}\end{array}\)

A \(\begin{array}{l}a)\,\,2\frac{3}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,6\frac{5}{6}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,8\frac{5}{9}\\d)\,\,16\frac{2}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,8\frac{{11}}{{14}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,9\frac{{19}}{{24}}\end{array}\)

B \(\begin{array}{l}a)\,\,2\frac{3}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,6\frac{5}{6}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,8\frac{5}{9}\\d)\,\,16\frac{2}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,8\frac{9}{{14}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,9\frac{{17}}{{24}}\end{array}\)

C \(\begin{array}{l}a)\,\,2\frac{3}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,6\frac{5}{6}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,8\frac{5}{9}\\d)\,\,16\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,8\frac{{11}}{{12}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,9\frac{{19}}{{24}}\end{array}\)

D \(\begin{array}{l}a)\,\,2\frac{3}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,6\frac{5}{6}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,8\frac{7}{9}\\d)\,\,16\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,8\frac{{11}}{{14}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,9\frac{{19}}{{22}}\end{array}\)

Câu 11 : So sánh các hỗn số sau:a) \(2\frac{9}{{10}}\) và \(5\frac{1}{{10}}\)b) \(7\frac{1}{2}\) và \(4\frac{3}{5}\)c) \(3\frac{3}{7}\) và \(3\frac{2}{5}\)d) \(5\frac{6}{9}\) và \(5\frac{2}{3}\)

A \(\begin{array}{l}a)\,\,2\frac{9}{{10}} > 5\frac{1}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{27}}{4} < \frac{{17}}{5}\\b)\,\,7\frac{1}{2} > 4\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,d)\,\,5\frac{6}{9} = 5\frac{2}{3}\end{array}\)

B \(\begin{array}{l}a)\,\,2\frac{9}{{10}} > 5\frac{1}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{27}}{4} > \frac{{17}}{5}\\b)\,\,7\frac{1}{2} < 4\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,d)\,\,5\frac{6}{9} = 5\frac{2}{3}\end{array}\)

C \(\begin{array}{l}a)\,\,2\frac{9}{{10}} < 5\frac{1}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{27}}{4} < \frac{{17}}{5}\\b)\,\,7\frac{1}{2} > 4\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,d)\,\,5\frac{6}{9} > 5\frac{2}{3}\end{array}\)

D \(\begin{array}{l}a)\,\,2\frac{9}{{10}} < 5\frac{1}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{27}}{4} > \frac{{17}}{5}\\b)\,\,7\frac{1}{2} > 4\frac{3}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,d)\,\,5\frac{6}{9} = 5\frac{2}{3}\end{array}\)

Câu 12 : Chuyển các hỗn số sau thành phân số rồi thực hiện các phép tính sau:\(\begin{array}{l}a)\;4\frac{1}{7} + 1\frac{3}{7} & & & & b)\;5\frac{3}{8} + 2\frac{1}{4} & & & & c)\;7\frac{1}{5} - 3\frac{1}{2}\\d)\;3\frac{2}{{11}} \times 2\frac{3}{7} & & & & e)\;2\frac{5}{6}:3\frac{9}{{11}} & & & & f)\;4\frac{7}{{12}}:3\frac{3}{4}\end{array}\)

A \(\begin{array}{l}a)\,\,\frac{{37}}{7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{67}}{8}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{{37}}{{10}}\\d)\,\,\frac{{85}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,\frac{{119}}{{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,\frac{{10}}{9}\end{array}\)

B \(\begin{array}{l}a)\,\,\frac{{33}}{7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{69}}{8}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{{37}}{{10}}\\d)\,\,\frac{{83}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,\frac{{119}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,\frac{{11}}{9}\end{array}\)

C \(\begin{array}{l}a)\,\,\frac{{37}}{7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{69}}{8}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{{39}}{{10}}\\d)\,\,\frac{{85}}{{13}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,\frac{{117}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,\frac{{11}}{9}\end{array}\)

D \(\begin{array}{l}a)\,\,\frac{{37}}{7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,b)\,\,\frac{{61}}{8}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,c)\,\,\frac{{37}}{{10}}\\d)\,\,\frac{{85}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,e)\,\,\frac{{119}}{{11}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f)\,\,\frac{{11}}{9}\end{array}\)

Câu 13 : Một cửa hàng có \(72\frac{3}{4}\) kg gạo. Cửa hàng đã bán được \(\frac{2}{3}\) số gạo đó, sau đó cửa hàng nhập thêm số gạo gấp \(3\) lần số gạo còn lại. Hỏi sau khi nhập thêm cửa hàng có tất cả bao nhiêu ki-lô-gam gạo?

A 93 kg

B 95 kg

C 96 kg

D 97 kg