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Linear transformations can be very important in graphics. Also, linear transformations come up whenever you need to solve systems of linear equations, which arise quite often. Finally, they can be useful in further areas of mathematics such as topology.
by experimenting..
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
There is no single method to solve all types of fraction problems. Some problems and their solutions are relatively simple, others are extremely difficult.
Well, you can solve your problems easily by asking friends or family, or thinking through how you can. Maybe ask teachers or therapist.