In a basketball game, Alison made 6 of 13 free shots. Madhu made 5 of 9 free shots. Who played better? Explain.

Madhu played better.

Step-by-step explanation:

Change both fractions to where they have the same denominator to see which one is bigger. The smallest possible denominator between the two fractions is 117.  

To get the 13 in 6/13 to become 117, you had to multiply it by 9. Whatever you do to the denominator, you must do to the numerator.

6 x 9 = 54.

Allison's fraction is now 54/117.

To get the 9 in 5/9 to become 117, you had to multiply the 9 by 13. Whatever you do to the denominator, you must do to the numerator.

5 x 13 = 65

Madhu's fraction is now 65/117

By looking, 65 is larger than 54, so Madhu had a larger number of shots compared to shots not made than Allison.

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