Arithmetic Grade Three

Lesson One hundred fifty-two: Equivalent Fractions


Which of the following is NOT equivalent to 3/4?

       9	 10	    12		 21
     ----       ----       ----         ----
      12         15         16           28


The answer is that 10/15 is NOT equivalent to 3/4.

Which of the following IS equivalent to 2/3?


      2          6          9           10
     ---       ----       ----         ----
      5         15         15           15

The answer is that 10/15 IS equivalent to 2/3.

You can use cross-products to quickly select equivalent fractions.

Which of the following is equivalent to 1/5?


      2          3          9           4
     ---       ----       ----         ----
      5         15         15           20


 Is 2/5 equivalent to 1/5?

    Cross-product one: 5 x 1 = 5
    Cross-product two: 2 x 5 = 10

    NO.

 Is 3/15 equivalent to 1/5?

    Cross-product one: 3 x 5 = 15
    Cross-product two: 15 x 1 = 15

    YES.

 Is 9/15 equivalent to 1/5?

    Cross-product one: 9 x 5 = 45
    Cross-product two: 15 x 1 = 15

    NO.

 Is 4/20 equivalent to 1/5?

    Cross-product one: 4 x 5 = 20
    Cross-product two: 20 x 1 = 20

    YES.

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