The ideas in this fraction lesson are taken from the ebooks that are sold on this website. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Multiplying fractions by a whole number
Free fraction lesson plan from HomeschoolMath.net

Color first  1 6 .  Color another  1 6 .  Continue  till you have colored seven times  1 6  .         7 ×  1 6  =

Color first  2 5 .  Color another  2 5 .  Continue  till you have colored four times  2 5  .      4 ×  2 5  =

Example problem types

1.  Write the multiplication problems as addition problems and solve.  Give your answer as a mixed number and simplify the fractional parts to lowest terms whenever possible.

5 × 1 4 =		2 × 2 3 =
4 × 2 7 =		5 × 2 10 =

2.  Do as above, but do the work in your notebook.  Can you notice a SHORTCUT to the problems where you don't have to write them as addition?

Remember? To find  1 2 of a number you need to _______________________________________ To find  1 3 of a number you need to _______________________________________ To find  1 4 of a number you need to _______________________________________ A fraction of a number is the same as that fraction TIMES the number.  In other words, the word 'of' translates into multiplication.  For example: 1 2 of 24 =  1 2 ×24 = 12               1 7 of 35 =  1 7 ×35 = 5 Remember you can use division when finding 1/2, 1/3, 1/4, 1/5, etc. of a number!

We know one can do multiplication both ways, or the order doesn't matter.   In other words, multiplication is commutative.  See the examples: 1 4  × 12   means   a fourth part of 12 (objects),     which is 12 ÷ 4 = 3.   12  ×  1 4   means  12 times 1/4, = which is 3 wholes.   In other words, fourth part of 12 is the same as 12 fourth parts.   1 3  ×  5   means   a third part of 5 (objects),   which is 5 ÷ 3 = 1 2/3.             5  ×  1 3   means   5 times 1/3,  =   which is 5/3 = 1 2/3.   In other words, _____ part of 5 is the same as ___   ______ parts.   2 5  × 10   means   two-fifth parts of 10,   which is (10 ÷ 5) × 2 = 4.              10  ×  2 5   means   10 times 2/5, = which is 4 wholes.   In other words, _____ part of 10 is the same as ___   ______ parts.

3.  Multiply.

Next lesson: Multiplying fractions, part 2

The ideas in this fraction lesson are taken from the Fractions 2 ebook sold on this website. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

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