1:My brother has a passion for painting, which he started when he was just a kid. He loves experimenting with colors and different techniques, often creating vibrant landscapes and abstract pieces. Every weekend, you can find him in his makeshift studio, lost in his creativity. His favorite medium is acrylic, and he enjoys capturing the beauty of nature in his work. Painting not only relaxes him but also allows him to express his thoughts and emotions.

2:

To stay healthy, focus on a balanced diet rich in fruits, vegetables, whole grains, and lean proteins. Regular physical activity—like walking, jogging, or yoga—helps keep your body strong and your mind clear. Prioritize good sleep, aiming for 7-8 hours a night to support recovery and immunity. Staying hydrated and managing stress through relaxation techniques also contribute to overall well-being. Consistency is key for lasting health benefits.

3:

Subject: Volunteering Adventures Last Summer!

Hi Thien Minh,

Hope you’re doing well! Last summer, I volunteered at a community garden and a local animal shelter. It was amazing—I learned a lot about gardening and helped care for rescued animals. We also organized food drives and packed meals for families in need. It felt great to give back and meet wonderful people. Let me know if you’re interested in joining next time!

Take care,
Long

1:Reusing means using something again instead of throwing it away.

2:Did your school organize a donation drive last winter?

1:My mother is fond of going jogging in the morning.

2:My sister finds it difficult to lift weights.

3:We collected plastic bottles and sent them to the factory.

a)\(\dfrac{1}{2}.\dfrac{4}{3}-\dfrac{20}{3}.\dfrac{4}{5}\)

\(=\dfrac{2}{3}-\dfrac{16}{3}\)

\(=-\dfrac{14}{3}\)

b)\(\dfrac{3}{7}+\dfrac{-6}{19}+\dfrac{4}{7}+\dfrac{-13}{19}\)

\(=\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\left(\dfrac{-6}{19}+\dfrac{-13}{19}\right)\)

\(=\dfrac{7}{7}+\dfrac{-19}{19}\)

\(=1+\left(-1\right)\)

=0

b)\(\dfrac{3}{5}.\dfrac{8}{9}-\dfrac{7}{9}.\dfrac{3}{5}+\dfrac{3}{5}.\dfrac{26}{9}\)

\(=\dfrac{3}{5}.\left(\dfrac{8}{9}-\dfrac{7}{9}+\dfrac{26}{9}\right)\)

\(=\dfrac{3}{5}.\dfrac{27}{9}\)

\(=\dfrac{3}{5}.3\)

\(=\dfrac{9}{5}\)

\(\dfrac{3-1}{1.3}+\dfrac{5-3}{3.5}+\dfrac{7-5}{5.7}+...+\dfrac{101-99}{99.101}\)

\(=\dfrac{3}{1.3}-\dfrac{1}{1.3}+\dfrac{5}{3.5}-\dfrac{3}{3.5}+\dfrac{7}{5.7}-\dfrac{5}{5.7}+...+\dfrac{101}{99.101}-\dfrac{99}{99.101}\)

\(=1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\)

\(=1-\dfrac{1}{101}=\dfrac{100}{101}\)

Vậy\(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}=\dfrac{100}{101}\)

a) So sánh ba phân số, ta được

\(\dfrac{5}{27}< \dfrac{2}{9}< \dfrac{1}{3}\)

Vậy trong một giờ, đội thứ ba làm được ít phần công việc nhất, đội thứ hai làm được nhiều công việc nhất.

b) Nếu làm trung, cả ba đội làm được

\(\dfrac{5}{27}+\dfrac{2}{9}+\dfrac{1}{3}=\dfrac{20}{27}\)(công việc)

a)\(x-\dfrac{2}{3}=\dfrac{-5}{12}\)

\(x=\dfrac{-5}{12}+\dfrac{2}{3}\)

\(x=\dfrac{-5}{12}+\dfrac{8}{12}\)

\(x=\dfrac{\left(-5\right)+8}{12}\)

\(x=\dfrac{3}{12}\)

\(x=\dfrac{1}{4}\)

b)\(\dfrac{8}{5}:x=\dfrac{-2}{3}\)

\(x=\dfrac{8}{5}:\dfrac{-2}{3}\)

\(x=\dfrac{8}{5}.\left(\dfrac{3}{-2}\right)\)

\(x=\dfrac{-12}{5}\)

c)\(1-\dfrac{3}{7}.x=-\dfrac{2}{7}\)

\(\dfrac{3}{7}.x=1-\left(-\dfrac{2}{7}\right)\)

\(\dfrac{3}{7}.x=\dfrac{9}{7}\)

\(x=\dfrac{9}{7}:\dfrac{3}{7}\)

\(x=\dfrac{9}{7}.\dfrac{7}{3}\)

\(x=3\)