Simplify as follows:

Begin by multiplying all of your decimal fractions by:

Simplify:

Now perform the multiplication:

The easiest thing to do next is to subtractfrom:

Next, convertinto the fraction:

Now, the common denominator can be:

Simplify:

在order to rewritein simplest form, multiply by a form of让分数更容易减少——在这个case ,:

To find the decimal equivalent of a fraction, we just apply long division. We divide the numerator by the denominator.

So

divided by

This results in

To convert any fraction to a decimal, the numerator is in the dividend and the denominator is the divisor. Then divide as you would normally. Just remember that sincecan't divide into, add a decimal point after theand however manys needed.

See if you can reduce the fraction before converting to a decimal. They both are divisible by, so the new fraction becomes. To convert any fraction to a decimal, the numerator is in the dividend and the denominator is the divisor. Then divide as you would normally. Just remember that sincecan't divide into, add a decimal point after theand however manys needed.

There is no other way but to analyze each answer choice. We do have a decimal choice so lets compare the decimal to all of the fractions. ChoiceI.is. Even if you don't see that, first divide the numerator and denominator by, then, and you will see that it'sChoiceIis wrong.ChoiceIIis definitely bigger than. Reason is because if you look at the numerator, if I double it, that number is. Because this value is bigger than the denominator, this means the overall fraction is bigger thanRemember, the bigger the denominator, the smaller the fraction. (is greater thaneven thoughis bigger than) The converse is the same. If apply this reasoning to both ChoiceIIIandV, only choiceVcan be eliminated. ChoiceIIIis hard to figure out the exact decimal value but if we didn't have a calculator, we can surely compare their values. Let's force choiceIVinto a fraction. The only way to compare these fractions easily is by having the same denominator. So, lets multiplywithwhich gives us. So we are comparingwith. Sinceis greater thanthis makes choiceIIIbigger thanand therefore makes choiceIVthe smallest value.

Convert the easy fractions to a decimal. Only choiceIVis simple and that value is. Lets compare to choiceIIIwhich also has a decimal. ChoiceIIIis greater than choiceIVso thats elminated. Lets apply a techique to determine the strengths of fractions. Lets compare choiceIandII. We will cross-multiply these values but when we cross-multiply, multiply the denominator of the left fraction with the numerator of the right fraction and the product will be written next to the numerator of the right fraction. Same is done with multiplying the denominator of the right fraction with the numerator of the left fraction and the product will be written next to the numerator of the left fraction. Whichever product is greater means that fraction is greater than the other. So with choiceIandII, we have products of10200versus10201. Clearly10201is greater and that corresponds to choiceIIso choiceIis eliminated. Lets compare now choiceIIand choiceV. Applying this method, gives choiceIIthe edge here. So now lets compare choiceIIIandII. Lets convert the decimal to a fraction with a denominator of. This gives us a comparison oftowhich means choiceIIIis clearly the biggest.

By inspection, each answer choice has a denominator ofwith the exception of the fraction of. This can be fixed by dividing the fraction bywhich will be. To find the correct numerator value, just multiplyby这是.