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Q: Why is it important to be able to write a fraction in simplest form?

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From a mathematical point of view, it is not at all important. Any equivalent fraction is just as good, so simplification makes no difference whatsoever. However, the simplest form involves the smallest integer values for the fraction and most people find it easiest to understand and to work with small numbers. Also, examiners expect you to be able to simplify fractions.

The simplest fraction from a percentage is to take the percent, and put it over 100. For instance, 25% is 25/100. Since this is not the simplest fraction, you can reduce it to the lowest possible form by the ordinary means. To do that, you simply divide both by the same number. For instance, I can't divide 25 by 2, but I can divide it by 5, with the result of 5. I can also divide 100 by five, with the result of 20. That makes 5/20. Then I can further reduce the fraction again by dividing 5 by 5, which makes 1, and 20 by 5 which makes 4. This means I was able to reduce the fraction to 1/4. Since 1 cannot be divided, we have the simplest possible fraction.

A fraction is in its simplest form if its denominator (bottom half of the fraction) and numerator (top half of the fraction) cannot be divided by the same number to equal a fraction with whole numbers in the numerator and denominator. [When you 'cancel' a fraction out (divide it to get a smaller fraction, closer to the simplest form) you must do the same sum to the numerator AND the denominator, so you must be able to divide the numerator by the same number you divide the numerator by, as the fraction cannot contain decimals or remainders (it must be a whole number] e.g. 3/6 is NOT in its simplest form, as you can divide both numbers by 3, meaning that the simplest form would be 1/3 1/3 is in its simplest form, as although you could divide the denominator by 3, you cannot divide the numerator by 3 to equal a whole number.

to write reports and e-mails your boss understands

Typewriters were important because they helped people be able to write things much faster. It was tedious to write down every copy of something by hand.

Officials were chosen from the small group of scholars who were able to read and write Chinese.

It is important to be literate because you need to be able to read and write to have an education and succeed in your life.

The whole number 3 stands on it's own. You take the decimal portion and figure out what the last decimal place is. 10s, 100s, etc. then take the number, in this case 3125 and put it over that number you came up with. In short 10,000. From there you reduce it as far as possible without having a fraction of a fraction. From this point you should be able to arrive at the answer on your own.

To be able to write the equation of a line in standard form. In particular, our book would not have cleared the fraction.

You can read without being able to write, but you can't write without knowing how to read.

Divide untitl it is no longer able to divide, that would equal to 40/60 or 40/100

I suppose that would depend on being able to see the shaded parts of the figures.

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