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.
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.
Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.
No.
A common denominator.
reduce
Yes
I assume you mean, with different denominators. If you want to add the fractions, subtract them, or compare them (determine which one is greater), you have to convert them to similar fractions (fractions with the same denominator) first. Converting to similar fractions is not necessary, and usually doesn't even help, if you want to multiply or divide fractions.
When multiplying fractions, it is not necessary to find the LCD first.
More than half.
More than half.
Because think of like fractions as the same things.. you can subtract halves from halves for example, but what does it mean to take away a half from a third?By converting them into like fractions, we can add or subtract them easily.
Fractions start with pie. People discovered that if you have one pie, and you have more than one person who wishes to eat pie, it becomes necessary to divide the pie into fractions. Four people can each have a quarter of a pie, for example.
It is necessary so that people that adore horses can survive during the winter.