Isabelle’s Insights

  They are the same, because when dividing fractions, you have to find reciprocal of the divisor and then multiply the fractions.

  To find the answer of a fraction division problem, you have to get the reciprocal of the divisor.

1/2 = 2/1=2

Then you multiply the dividend by the reciprocal.

6/1 x 1/2

6/1 / 2

6/1 ( / ) 2/1

Therefore, 6 ÷ 2 is equal to 6 × 1/2.

6/1 x 1/2=3

6/1 / 2=3

6/1 ( / ) 2/1=3

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It is the same becausewhen doing a division problem, you turn the dividend, 3/5’s,  into its reciprocal form.  It will then become 5/3.  Then you can turn the division sign into a multiplication sign, making both problem the same.

2/3 ÷ 3/5 = 2/3 x 5/3.

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This equation doesn’t equal 5/10 because you aren’t supposed to add the denominators and numerators; you do something different.  You find common denominators, and then add the numerators together. 

1. To find common denominators you find the lowest common multiple of the two denominatros, which in this case is is 12.  In class, we have learned that in order to get an equivalent fraction you either multiply or divide a whole number in the form of a fraction by the fraction.  That means that all I have to do is find a whole number in the form of a fraction for each fraction  and multiply:

1/4 x 3/3= 3/12                                             4/6 x 2/2= 8/12

Now we have equivalent denominators for both fractions

2.  This is the easy step to the problem.  You now add the numerators, but KEEP the denominators:

3/12 + 8/12= 11/12

  So in the end, the answer turns out NOT to be 5/10, it’s 11/12

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Title of the CD: Mozart Concerto for Violin Nos. 2- 4

Composer/s: Wolfgang Amadeus Mozart

Performing artist/s: Richard Wenzel (No. 2 &3)

Dalibor Brazda (No.4)

            Mozart’s birth name is actually Johannes Chrysostomus Wolfgangus Theophilus Mozart.  He was born on January 27, 1756, and died on December 5, 1791.   Mozart was an influential composer of the Classical era. He composed over 600 works.  Mozart is now among the most enduringly popular of classical composers.  These concertos were written by Mozart in April and December 1775. All three pieces give an elegant and graceful feel to the listener.

Concerto Nos.3 starts off with the 1^st movement, bright and light as it blends in with the main theme.  Flowing in next is a minor middle. Then, it sounds like a happy, lively discussion between the soloist and accompanist.

As the 2^nd movement approaches, the main theme is repeated again, but in a higher octave.  In my opinion, this higher octave version is more beautiful than the first part.  It sounds more alert and lively.  Suddenly, the melody changes to a slightly sadder, more tragic tune.  This part of the music is my favorite.  I usually don’t like sad music but for some reason this tune caught my attention and making it become one of the most memorable pieces I’ve ever heard. Like the rest of the piece, the ending of the concerto comes to an end very thoughtfully, the violin plays a melodic line, while the orchestra plays a happy theme, the violin solo shows off by playing some fast, playful notes. After the violin plays a few more melodies, Mozart chose a lonely oboe (a double reed band instrument) to end, and give a gradual feel disappearance.  Mozart made a really good choice picking the oboe.

I enjoy this concerto, because I find it very graceful, crisp.  Overall, the beautiful and clear melodies and movements of these concertos are very moving and beautiful.  I highly recommend them to anyone who wants to lay back and relax while listening to beautiful classic concertos.

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Title of CD: Symphony No. 5
Composer/s: Ludwig Van Beethoven
Performing Artist/s: Ljubljana Radio Symphony

Beethoven, as most people know, is described as the most acclaimed and influential composers of all time although he was deaf.  I find that very interesting how he was an amazing composer but disabled.  Ludwig Van Beethoven was born on December 15, 1770 in Bonn, Germany.  Beethoven died in 1827 in Vienna at the age of 56.

Beethoven’s Symphony No. 5 is very famous all around the world, my personal favorite next two The Four Seasons “Spring”.  It’s also Ljubljana’s most popular piece they’ve performed, Beethoven.  There are four movements in this piece: Allegro con brio, Andante con moto, Allego (scherzo) and Allegro(Presto).

The first movement is very fast paced and action packed with many accents and crescendos that make the piece more exciting.  I researched that the first movement ia also the most popular movement.  I like how there are many crescendos and decrescendos that are added in to this piece because it make it feel more alive and real.  In this movement, there is a loud and active part somewhere in the middle, then it gradually slows down.  After that part, it  is slow for a bit. Then it has a big crescendo and shifts from soft to loud.  This part really caught my attention, because it was so exciting.  I have noticed that at sometimes there is a little brass in the background that accompanies the strings.  This brass I think is a really good accompanient with strings. 

The second movement is a little similar to the first, but it sounds happier, more graceful and majestic.  I enjoy the second movement more than  the first because I love the way Beethoven makes it more elegant when composing.  If ever, he wrote this particular part in the piece because he is happy, then he certainly has showed it.

The third movement is more mysterious and slow in the beginning, but it sometimes (more towards the end) gets loud, vivacious, and lively.  This particular part in the piece is probably my most despised part, because I enjoy all throughout lively and stimulating music.  I rarely ever find a sad, sorrow  piece that I like.

The fourth and final movement is also very famous, lively, energetic, and loud, all at the same time.  This ending is probably one of the most elegant and graceful ones you’ll ever hear.  It’s very strong and keeps you thinking about the piece. 

 Overall, this piece is very wonderful and grand sounding. I enjoyed it a lot, and encourage you to listen to it sometime when you’re free

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