The Holy Cross 6th Grade Math students have worked on dividing fractions.

Students began by recognizing types of fractions, finding equivalent fractions, and converting fractions.  Before starting we did some quick warm up problems to help get the work started.

Examples of Fractions:  Proper Fractions 1/3—Improper Fractions 3/1—Mixed Numbers 2 1/3

Samples of Equivalent Fractions   2/3 = 4/6 or 9/12 =3/4

Converting Improper fraction to a Mixed 9/4 = 2 ¼

Converting Mixed fraction to Improper fraction 2 ¾ = (4 x 2 + 3) = 11/4

Reciprocal:  2/3 flipped to 3/2 and 8/5 flipped to5/8

Then the class began the process of dividing fractions by inverting the process to multiplication and reciprocating the second fractions.  Depending on the type of fraction that the students were working with, they might have to convert the number to the same type.  The pupils also discussed cross canceling to simplify the problems.

Example:  2/3 divided by 4/5  =  2/3 times 5/4  = 10/12 = 5/6

Example:  12/5 divided by 5/4 =  12/5 times 4/5 = 48/25 = 1 23/25

Example:  2 1/3 divided by 1 4/5 = 7/3 divided by 9/5 = 7/3 times 5/9 = 35/27 = 1 8/27     