Key Rule, always remember to divide by the denominator and multiply by the numerator
This method works for any question.
In this question the denominator of two thirds is three, so you have to divide the number 45 by 3 which gives you the answer 15.
Next, you have to times the number 15 by 2 which is the numerator. This will give you the answer 30.
Comparing and Ordering Fractions
When comparing and ordering fractions the key rule is to make sure that all of the numbers that you are comparing have the same denominator.
You have to find the lowest common denominator (LCD)- in this case it is 12 which is a factor of both 6 and 3.
Then you change them all into that denominator, remembering that what you do to the denominator you do to the numerator.
To get from four sixths to eight twelfths you have to time both the numerator and the denominator by two.
In this case the two fractions are equal.
Mixed and Improper Fractions
In a mixed fraction the whole number shows how many wholes there are and the fraction shows the amount left over.
Remember: the denominator never changes
In a improper fraction the numerator is always larger than the denominator.
Improper to Mixed Fractions
Mixed to Improper Fractions
When converting a improper fraction to a mixed number you divide the numerator by the denominator which is in this case, 37 divided by 5. The answer is the whole number and the remainder would be the leftover fraction.
When converting a mixed number to a improper fraction you have to times the denominator of the fraction (which is in this question 4) by the whole number (5), which in this case is 20. Then, you have to add on the remaining numerator (which is 1). In this question the answer would be 21 fifths.