"Looking at a problem from an engineer's perspective."

Usually the word "fragment(s)" indicates some separation or disconnectedness. "Fraction of time" is okay. "Spare moments" could also work for the kind of situation you're describing.

Time flies...

Today I chatted with my family about all the nicknames I had in different periods.
Then I recalled the ones from elementary school, junior high, senior high and college.
I found all of them different except the ones in junior high and senior high.
Therefore, I tried hard to figure out if those two were really the same.
Surprisingly, I found several dim memories in my mind, which seemed to be so far away.

I'm only 23. Is forgetting really so easy?
What did my friends call me, exactly?
Some friends' faces showed up in my mind, but what they said was just a blur.

Only the voice of the guy whom I had a crush on for several years was clear.
That wasn't something deserving a compliment.
Everything he said and did was carved on my heart during my senior high years.
Now only the way he said my name was clear.

Times flies like an arrow.
Sometimes I think life is ridiculous.
Things we put all our effort on could be nothing in the future.

Make me happy make me worry.

I have a timid wife. She doesn’t even dare to go out after 21:00. Every time she comes home a bit late, she is certain to call me to pick her up. Whether you are willing or not, you have to do it.
Today is a typical example. She came back from her mother’s. Because she didn’t buy a ticket, she took the later train to return to our place. The train arrived at the station at 21:08. So she called me and ordered me to go to the station to pick her up. Coincidently, I worked overtime today. When I left for my company, it was 20:00. I calculated the time- it was proper to pick her up from the station. So I did. (this wording could be improved)
It rained when we returned home. It was just a shower. We took the subway then we transferred to a bus. The rain didn’t bother us too much. All was well, but the only fly in the ointment is that I didn’t eat anything for my supper. Poor me.

I have highlighted areas with changes that you may want to examine. Hope this helps!

英文写地址一般跟中文的写法是相反的－我们会把名字和街道放在前边，城市，省，国家放在后面。我推荐你用英文写中国的地址不要翻译地名的意思－最好是直接用拼音写 (Guoqing Road 比 National Road 好） [name of addressee] Guoqing Road, Lane 700 #1, Room 101 Shanghai, China [postal code]

As the previous answer touched upon, "ing" words are often "gerunds"- this means they function as nouns. For example- "I like running." In your sentence, "receiving" is a gerund and as a noun can be placed after prepositions. Here are a few more examples of gerunds: We don't think waiting is a bad idea. Cooking is easy once you learn some recipes. He changed his focus to learning grammar.

Two words: Embrace mistakes.

 

If you have the mindset that all of your mistakes are just opportunities to learn and improve, you will be less afraid to practice more often and have more fun doing so.

The best way to get to that level is to use the target language A LOT. It takes lots of practice- there's no way around it.