Fractions: Multiplying Mixed Numbers

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2 2⁄3 x 1 3⁄4 = 4 2⁄3	2 1⁄5 x 2 1⁄3 = 5 2⁄15	1 2⁄3 x 2 1⁄4 = 3 3⁄4
1 1⁄5 x 2 3⁄5 = 3 3⁄25	3 2⁄3 x 3 5⁄6 = 14 1⁄18	1 2⁄9 x 4 1⁄4 = 5 7⁄36
3 7⁄8 x 6 6⁄8 = 26 5⁄32	2 4⁄11 x 5 11⁄13 = 13 9⁄11	1 1⁄3 x 2 1⁄8 = 2 5⁄6
3 6⁄7 x 1 3⁄8 = 5 17⁄56	3 3⁄5 x 2 1⁄10 = 7 14⁄25	5 4⁄7 x 2 3⁄5 = 14 17⁄35
4 3⁄4 x 4 3⁄8 = 20 25⁄32	3 1⁄6 x 3 5⁄8 = 11 23⁄48	4 4⁄9 x 3 5⁄6 = 17 1⁄27
5 1⁄7 x 1 5⁄8 = 8 5⁄14	6 3⁄5 x 3 1⁄3 = 22	7 8⁄9 x 2 1⁄12 = 16 47⁄108

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Related Resources

The various resources listed below are aligned to the same standard, (5NF04) taken from the CCSM (Common Core Standards For Mathematics) as the Fractions Worksheet shown above.

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.)
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Examples/ Guidance

How to help with multiplying fractions

Worksheets

Multiplying Fractions e.g. 4/7 x 3/4
Multiplying Fractions & Mixed Numbers e.g. 4 x 3 6/7

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Apply and extend previous understandings of multiplication and division to multiply and divide fractions

How to divide fractions (From Examples/ Guidance)