Like how GradeA teaches fractions? You may also enjoy our free preAlgebra help page - dedicated to helping you be better prepared for algebra class. A fraction can be simplified if the top and bottom numbers can both be divided by the same number, without leaving a remainder. There are three basic rules for simplifying fractions: Any number written over 1 is that number. Some fractions can be easily written as whole numbers: When a fractions denominator is 1, that fraction is equal to its numerator. You can discover other helpful tips by visiting the other rules of fractions page or return to the Grade A homepage for more great math help. As a general rule, it is easier to work with simpler fractions. You worked hard for those points-make sure you get them all!ĭo you now see how to divide fractions? One helpful hint is to remember that when you are multiplying and dividing fractions you do NOT need a common denominator like you do when you add and subtract fractions. So in order for you to get full credit, make sure you always check your answer to see if it could be reduced further so you don't lose any points. Example: Simplify the fraction 24 108 : That is as far as we can go. Most teachers will want you to reduce your fractions to the lowest term possible. Method 1 Try to exactly divide (only whole number answers) both the top and bottom of the fraction by 2, 3, 5, 7. It really is that easy! Once we've done the CCF, we can multiply the new problem using the "fly when you multiply" technique (click the link if you need a refresher on multiplying fractions and the use of the technique.) That means that our answer in this problem would be The top becomes the bottom and the bottom becomes the top. Rule 3: Lastly, perform all additions and subtractions, working from left to right. Rule 2: Next perform all multiplications and divisions, working from left to right. Rule 1: First perform any calculations inside parentheses. Associative Property of Addition We can group numbers in a sum any way we want and get the same answer. Commmutative Property of Multiplication We can also multiply numbers in any order. Commutative Property of Addition We can add numbers in any order. CHANGE the division sign to a multiplication sign. Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation. Algebraic Properties Let a, b, and c be real numbers, variables, or algebraic expressions.COPY the first fraction exactly how it is.All we need to remember is COPY - CHANGE - FLIP, or as we like to call it at GradeA, the CCF. There are three easy steps to transform a division problem into a multiplication problem. Turn Problems from Division into Multiplication
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