the are, unfortunately, unavoidable. any system of measurement will come short in measuring actual reality.
if you need to weigh your gasoline for a molotov coctail and you can only measure gallons (and not fractions thereof) you would not know how much fuel you were using. you would see only an unknown portion of a gallon without actuall knowing, numerically, how much was in it.
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To divide fractions, turn the second one over - that is, swap its numerator and denominator - and multiply. Nothing else is necessary. You cross multiply when you have a proportion, that is when you have two ratios that are equal.
Like fractions are the fractions which have the same denominator and unlike fractions are the fractions which do not have the same denominator.
You basically have to learn separately how to do different things with fractions, including finding a common denominator; converting fractions to a different denominator; simplifying fractions; adding and subtracting fractions; multiplying fractions; dividing fractions.
We can only add or subtract fractions if they have the same denominators
Equivalent fractions are fractions that have the same value as another fraction.