Can someone please explain to me how they got this . I keep breaking my head using multiplicative identity

5/3 ×6/6=30/18

2 answers

The multiplicative identity stats that you can multiply 1 by any number and the product is that number, so the number stays the same.

5/3 * 6/6 = 30/18

6/6 can be simplified to 1
30/18 can be simplified to 5/3

so:

5/3 * 1 = 5/3

which satisfies the multiplicative identity
You can also check by just flat out multiplying both fractions together:

(5*6)/(3*6) = 30/18
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